Gameboy is really slow when compared to modern hardware. One ECDSA signature that takes around 100ms on Trezor (32-bit CPU @ 120 MHz) would take around a minute on GameBoy (8-bit CPU @ ~4 MHz.
If we're talking about GameBoy Advance (32-bit CPU @ 25 MHz) - this more plausible but still 5 times slower than Trezor.
I think waiting a full minute is a perfectly justifiable trade-off for a dystopian future that at least forces people to have an iconic '80's handheld strapped to their hip. If we're headed toward a dystopia, we can at least try to set the stage for a certain standard of aesthetics.
I'm not sure why this was downvoted, but perhaps some context may help.
Here nayuki linked a few posts made by kens about mining Bitcoins using weird old hardware (if you classify pencil and paper as hardware). A Gameboy is perhaps not vintage enough for kens :) .
Great, now it's going to be impossible to get a vintage Game Boy on ebay for under $10,000, not to mention making AA batteries impossible to find at retail.