So far this thread raises so many questions, provides so few answers yet makes me want to say so many things.
As Ned Loh says, comparing different brands/types of the same nominal size is worthless if the actual size is different (and they usually are). E.g. the Yokohama A050 205/50 is a 217 mm wide tyre when measured on the 'standard' measuring rim (which from memory is 6 or 6.5 inch wide). Other tyres are generally closer to 205. So let's stick to the AD08 comparison from rim to rim.
Magpie wrote:These pictures make it plainly obvious that a 205/50/15 on a 8" rim will provide some extra grip in corners.
Looking at the photos of the AD08s, the extra rim width makes the tyres wider in the sidewalls not the tread...not surprising. Is it this that makes it "plainly obvious" they will provide extra grip? I am not sure what is obvious.
Magpie wrote:however there is almost an extra 25mm of lateral contact patch for each wheel over the 6.5's.
When it comes to contact width...so what? The contact patch area is predominantly a function of tyre pressure. Pounds of car (on one tyre) over square inches of contact patch = tyre pressure. Well, actually, the contact patch is a little smaller than this calculation suggests as the tyre has some stiffness, unlike, say, a party balloon. A wider tyre patch = a shorter tyre patch for the same pressure. And anyway, the extra width is in the sidewall not the tread.
Magpie wrote:There is a lot on bicycle tyres/rims but not much on 'race cars'.
Lots of work has been done on tyre traction of racing tyres, but the results are not publicly available. When I raced FSAE, teams would pay tyre companies for data about their own tyres, doing specific tests on different load/pressure/rim width/slip angles. We were given some basic free information about some tyres, but could not afford more comprehensive data.
From this I am pretty sure that for any tyre/car combination there will be a rim width that proves optimal for lap times. But what is it? Is wider always better? I doubt it. I am about to change from a '205' tyre on a 7 inch rim to a 185 tyre on a 6 or 6.5 rim, chasing lap times. The 205s proved slower than the 195s I previously had (on 6.5s). So the obvious experiment is to go in the other direction or try a different (softer) tyre compound.
in any case this is a really complicated area of research. There are academic books on the subject. Talk about a can of worms!