Have you seen the tyre test done by The German classic car magazine Auto Bild Klassik? I dont know if you will be able to make this PDF work?
file://austin/Google%20Drive%20on%20austin/LONGSTONE%20cars/Jaguar%20Pictures/e%20type/Editorial%20E-Type%20Auto%20Bild%20Klassik.pdf
Anyway this is the translation of what i have been given
Auto Bild Klassik print edition
Fresh rubber at the start
After ten years at the latest, your oldie needs a new set of tyres. Fresh rubber in a classic design increases safety and reactivates driving pleasure - if you choose the right tyres.
From the outside, they are still as round and black as they were more than 100 years ago. But the wheel of time has not stood still: the know-how and technology used to build vintage tyres in the style of the 1960s has come a long way. Charles Goodyear, Robert Thomson, John Dunlop, Charles Welch and the Michelin brothers are the inventors and pioneers of the pneumatic tyre. In their early days, pneumatic tyres were notoriously unreliable and burst tyres were the cause of many serious accidents. It was not until 1920 that their suitability for everyday use was improved with the introduction of cord fabric in the carcass, steel wire in the bead and appropriate tread design.
This increased the life of air-filled cross-ply tyres from a meagre five to 20,000 kilometres, and they replaced the reliable but very uncomfortable solid rubber tyres.
From 1946, the first radial tyres with radially arranged carcass plies and stabilising belt wrapping again revolutionised driving dynamics in the wet and when cornering. With the introduction of the low-profile tyre in 1965, the tyre was then deliberately used as a visual style element for sporty vehicle design.
The treads became wider and the sidewalls flatter. With the 15-inch tyres of the 70 series, which were just 205 millimetres wide, our vintage-style test subjects are still miles away from the dimensions of today's sports tyres.
In the 1960s, the tyre sizes used on today's small cars were sufficient to keep 270hp supercars with a top speed of 240km/h safely on the road.
The Jaguar E-Type, built from 1961 to 1974, is now regarded as an icon of sports car design of the era, and this is even more true of the twelve lightweight variants that were successfully raced.
Unlike the standard E-Type, the monocoque was made from aluminium sheet and the powerful brakes were taken from the Mark IX luxury saloon. The 3.8-litre six-cylinder engine has a redesigned aluminium block, while the cylinder head is a modified version of the legendary D-Type.
Our beautiful red test E-Type is a detailed replica and, like the original lightweight, is based on the E-Type Roadster. We have tested which modern tyres with classic tread patterns are best for getting around.
With an unladen weight of less than 1,000 kilos and 270 horsepower under the aluminium bonnet, the Lightweight is ready to take to the track. The twin Pirelli tyres, with their crisp steering and perfect lateral control, ensure safe and fun driving.
The chasing pack also impresses with its consistently safe handling. Michelin's XWX lacks lateral control and lags behind the competition in terms of handling.
Pirelli's two classics have the best grip in the wet; on the watered wax ring they take the lead with their direct steering response and well-balanced handling. The competitors from Dunlop (Sport Classic) and Vredestein also cut a good figure in the wet. With less lateral grip and limited reserves for aquaplaning, Dunlop's Aquajet and Michelin's XWX are only in the middle of the pack. China's Radar Dimax Classic, on the other hand, slides like soft soap and is out of the running.
Conclusion by Dierk Möller
Modern tyres with historic treads are like a fresh cell treatment for the oldie. Thanks to modern technology, they improve driving dynamics and increase safety reserves at the same time. However, vintage car fans will have to dig deep into their pockets for these tyres.
Pirelli Cinturato HS CN12 96 W
Strengths
Excellent wet grip, precise steering, sporty and agile handling, short braking distances, good aquaplaning reserves, good rolling comfort.
Weakness
Increased rolling resistance
Pirelli Cinturato P5 96 W
Strengths
Excellent wet grip, precise cornering, sporty and crisp handling, short braking distances, very good aquaplaning reserves
Weaknesses
Increased road noise, high rolling resistance.
Interestingly both Pirelli tyres got slammed for noise and rolling resistence. But of course they would. Both the P5 and CN12 are genuine classic tyres. When you compare classic tyres to modern tyres like the Dunlop Sport Classic and Vredestein Sprint Classic these modern tyres have a massive advantage with noise and rolling resistence, these features weren't a so much of a consideration in those days. These are the 2 features that modern tread design has dramatically improved. so the modern tyres in this test do have an unfair advantage in these issues.
here are the results

I must say i was pleased with the results, in that it backed up exactly what we say about tyres in this size and tyres for Jaguar specifically. classic jaguars with power steering go for the P5 and if you have a jaguar that should really be on a 185R15 (or 6.40-15 crossply) the the Cinturato CN12 is the best.
Both Pirelli tyres wiped the floor with all the competion both in the dry and in the wet when it came to driving. The Dunlop simply snuck in because of its rolling resistence and noise scoeres.