As stated in the topic title, I figure this is a stupid hypothetical question to ask whether anyone has actually tried installing a 65816 into a 7800?
The reason for my pondering is due to the fact that there are a few videos on YouTube showing the results of games played on various Atari 8-bit computers after installing a 65816 in the place of the original 6502C [SALLY] CPU.
Now I assumed this wouldn't work because of how the MARIA graphics chip famously halts the SALLY often to draw its graphics and that might cause a lock-up with a 65816 but then I just read that Atari's SALLY was designed to be halted and the A8's ANTIC graphics chip did that long before the debut of the MARIA yet the A8'ers that have posted to YouTube claim 95% - or better - compatibility with their software libraries after the 65816 mod. If I recall correctly, back in the Apple //gs days, Apple themselves only claimed about 90% compatibility with the existing Apple // software library with the 65816. And Nintendo didn't seem to be interested in trying to preserve NES [6502 ish] compatibility with the 65816 powered SNES.
If it worked on a 7800, I'd imagine the performance increase would be greater than the jump some games experience on the Sega Genesis after installing a 68010 in the place of the stock 68000 [which is better than over clocking but you no longer can play Shaq-Fu afterward, I know, the horror!].
Just thought I'd ask...