A600GS? That could be done 20 years ago and do you agree or disagree?
Definitively not.
2004 were no affordable SBCs around capable of running UAE at decent speed. The first Raspberry Pi was released in 2012 (1st Amiberry release 2017). So around 2004 the most affordable way to get a decent "A600 Gaming System" probably was to buy a 2nd hand A600 and put a '020-accelerator card in.