I've done some projects on GDPR and I'm pretty sure it doesn't cover much more than the data where you - the actual you - or your personal information are referenced. The most common use of SAR is say against a bank where you've had a complaint with someone in a call centre; you'd get quite a lot back because the 'personally identifiable information' includes stuff like calls where you've had to verify your identity (plus it has your voice - of you the individual speaking), all your banking documents, statements, etc.
A game might not be covered, and especially in this context because it's a reference to your avatar. I'm pretty sure businesses also have some rights (in the UK) that protect trade secrets, so not a chance you could ask for detailed descriptions or evidence about how you were detected for breaking rules because that could be distributed and help people break further rules, create smarter bots, etc.