My opinion:
I would not use modern vs. classic comparison method for tyres.
Modern cars have ABS, ESP and a bucket load of those 2 and 3 letter acronymes that affect the whole handling/grip/tyre game. Also, modern tyres have rubber compounds with better grip per square of contact area, sidewalls are more adaptable to the camber changes too therefore tread have more uniform pressure maintenance... then there are shockers, spring rates and so on. Too many parameters are different on modern cars.
A car that would appear to be over-tyred is the C4 Corvette (1984 - 1996). Weighing only 1469kg the factory fitted 255/50R16 front and rear! And you don't see many of them aquaplaning off into the scrub.... In fact some people in the states are fitting 275mm (f) and 315mm (r)!!!!
There was a Top Gear episode where Richard Hammond drove the latest Corvette. It was quite informative funny and sarcastic about its handling.
I'd scrap Corvette specs as a valid input on multiple grounds.
I'm still thinking this one through.... Firstly what's the best way to define 'grip'? Is it the fastest time through a given corner (or series of corners), highest lateral forces generated (G force), or the fastest 60 foot in a drag race??? In order to find a solution, we need a beginning....
Grip, as I define it, is ability of tyre to resist slipping longitudinally or laterally AND to resist aquaplaning. Efficiency of such ability defines levels of it. I'd not directly link it to any of other vehicle performance measures (e.g. cornering speed) as grip is just one of the factors affecting them.
My rule of thumb is that with modern tyres, good shockers and perfect subframe mounts 10% wider than max originally recommended by AMG is acceptable for modern tyres at the not-so-expensive cost of braking performance and aquaplaning.
Modern tyre in max size recommended by AMG would have, I believe, balanced improvement in all the aspects of the grip. I am sure they did not randomly picked the width size.
Not all the tyres of the same size are the same; being that there's no ABS nor ESP, I'd pick the softest compound tyre with shortest treadwear for maintained grip trough the tyre lifespan.
But all of previous is near pointless if shockers, springs, subframe mounts and to some extent wheel alignment are less than perfect.