First, let's talk the standard TR6 configuration, the TR6 for the North American market was fitted with 185-15 tires and while not listed, at that time the majority of tires were an 80 aspect ratio. If they were different, the aspect ratio was called out in the tire size marking.
My take from personal experience is that in general I think the upper limit is a 195 section width with a 70 aspect ratio on a 5.5" wide wheel. I did run some DOT street legal 205/50-15 tires (with a tread wear rating of 40, not a typo, it was really 40) on stock TR6 wheels when I autocrossed that car in what was then the SCCA E Stock class but felt it was very doable at that extra width because the sidewalls on those tires were stiff and the aspect ratio was smaller. For street use, I ran 195/70 x 15 tires on 15 x 5.5 or on 15 x 6 wheels depending on when we are talking about in my ownership of that car. Compared to the stock tire size, this resulted in a speedo/odomter error of ~ 3% percent. I tried a 205/70-15 but wasn't particularly happy with it. While that 205/70 x 15 can be done on stock 5.5" wide wheels it seemed be a bit more flexible and there was a loss "feel" because of the slightly higher sidewall and the greater bit of curvature in that sidewall when mounted and driven under load when pushed. With that size tire, I calculating a speedo/odometer error of ~ 1.3%. I knew plenty of people that had run that size on their TR6 and it seemed to work for them but don't really know how hard they exercised their cars.
Jumping up to the 215/65, I wouldn't even think about that on 5.5" wide wheel, at that point I think you need to be thinking in terms of 6.5" wide or 7" wide. With that size, the speedo/odometer error crunchs out to ~ 2.5%. I did know some people that used wider wheels and ran that size tire. Some had tire interference problems with the front fender, some did not. It was probably tied to the offset in whatever wheel they used but know nothing definitive on that.
Regarding lug pattern on the TR vs Acura, it depends on the Acura model in question. The Civic based four lug pattern is too small at 4 x 100, same as Saturns, many Hyundais/Kias, Mazdas, etc. The larger four lug patern Acuras use a 4 x 113/4 x 4.5, same as many four lug Fords, many Mazdas, Nissans/Datsuns, etc along with many LBCs.