Not an expert, but I believe higher octane provides more protection against detonation. So I would think it could absolutely be a factor. That said, why on earth would anyone tune for power just to run shitty 87 octane gas?
The 2.0TSI motor loses power with fuels less than 91 octane:
https://newsroom.aaa.com/wp-content...ium-Fuel-Phase-II-Research-Report-FINAL-2.pdf