As its own product, cool, could have done it years ago or release a Vita 2 stop gap console with all needed buttons for PSN(ow) game playing, and remote playing into PS4(/5). Fuck cloud and steaming for playing games.
Even 'I' think Q Lite is gimped if it doesn't have game streaming (if it's "just" Remote play). But if it does offer both, why is it supposed to be controller-shaped and not a new PS Portable device? I'm not 100% sure I'd pull an oversized game controller with a screen out on the bus for fear of weird looks. improved Vita form-factor, please, if there's a "Q Heavy" to go along with that "Q Lite".
We all know I'd like that to be a Portable PS4... But they do need to do some magic behind the scenes, because remote play is poor quality, game streaming is poor quality. We want portability, downloadability and buttons. Our devices can resync savedata and such with PS+ Cloud when we're back in WiFi area, but at least we've been able to play our games locally on the device in the mean time.