Later models, like the 500+ had even compatiblity problems with most games. So you even had to install an kickstart-switchboard from 2.04 to the most compatible 1.3, if you want to run all games.

Emulation of later Amigas doesn't realy care.
( and makes gaming on a mobile device too complex )

My first A 500 runs fine, till today. Since nearly 23 years.