Okay, so I bought a Logitech G Cloud.

Yes, it's expensive for what it is (a cloud gaming streamer), yes it's not packing a cutting edge processor, but also yes: it's light, comfortable, has a 12hr battery, 7 inch 1080p display, emulation was super easy to set up; PS2 emulation at 50fps, even when upscaled! 🤘

Nice Android tablet for watching and listening to stuff aswell. Only complaint is it's too loud at its lowest setting, so had to use the Wavelet app to lower by -10db as a workaround.