ipega 9017 has very slightly less lag than ps3 wireless and moga pro or hero. i had a steelserie bluetooth controller input lag was not great so i sold it. ps3 and ps4 wired controller seems the best input lag with the ipega 9017. moga pro and moga hero has very slightly more input lag , hard to feel the difference, but they are perfectly playable even for 2d games like mario bros... the difference is very very small, im not sure you will notice it. i notice it because i made several tests with several controllers and several hdtv and several phones LOL. But be caution the ipega 9017s ( i think its a fake ipega 9017 clone) has more input lag and its not fun. i have 3 ipega 9017 all work with the same input lag. ipega 9023 and 9025 are good controller with similar input lag but build quality is slightly inferior. but 9017 doesnt have R2 and L2 buttons. dont buy 9017s build quality is a lot worst. i have 3 hdtv. My Sony HDTV w800b has a input lag or 24ms ( rtings web site) its really a great input lag hdtv, one of the best ever. sony w800b paired with ipega 9017 in slimport, the lag is near non-existent, similar to wii, ps3...
my alcatel onetouch idol 3 has cpu throttle after 10-15 minutes with ppsspp and hate it. nexus 5 , samsung s5, never cpu throttle. Not sure for my lg g3 but it become VERY hot. my lg g4 seem to throttle but i didnt test it much. i mostly use my nexus 5 with slimport recently. THW WORST PHONE I HAD WAS THE XPERIA Z3, this phone has a awful input lag EVEN without using MHL. the Z3 own lcd screen has a lot of input lag, so much lag that mario bros was not playable for me with any controller, im not joking here, maybe i had a faulty one, if that exist... So i hesitate to buy the xperia Z5, but i tested the xperia Z5 for a few hours and i notice no input lag in its own lcd screen
But between all cell phones display i saw , my favorite one is this alcatel onetouch idol 3, im in love with the screen quality, brightness and colors , for a LCD its wonderful.
( edit: i had a moto x pure edition and it seem to cpu throttle, i didnt found it very fast in emulators though, i was surprised same 808 snapdragon than lg g4, but lg g4 perform better
edit: i just read your first link , ( im from quebec so i speak french
man, i didnt think the z3+ was so bad, SO MUCH throttling