I bought an Xbox because I wanted one game that was only available for it
Ditto, but most people don't do this. New consoles are sold at a large loss, which is made back through games (and now online services) - there's no way a hobby games console could compete with that, and IMO pursuing a games market would be a BAD idea simply because it couldn't compete on any level (when someone writes a driving game better than Project Gotham Racing 2 on XBox I'll be happy to eat my words).
Anyway, BTT, IMO This idea is not completely without merit, but Hyperion are already doing this to a certain extent - Genesis, IBrowse (cut down or otherwise), MUI as standard, in fact most of the extras over it being a barebones system are updated versions of well established Amiga software.
I see no reason why packaging some older OS friendly games and apps (ones that work under the built-in 68k emulation, not UAE) would be a bad thing - kinda like a 'starter' kit. Such old programs could be used for little or no money, but they'd have to buy it outright.
I also think that with a push from the current community the A1/OS4 could pull back ex-Amiga users and new users, but they'll want to browse the internet, do small business type serious work, and play at least some games (a mix of fancy 3D and older ones).