@trifid @imagineadam
This issue still occurs in 9.3 beta 3. Apps do load faster it seems but the input delay the same.
Thanks for assembling the list in the OP ( in the link below) on where it occurs and where it doesn't. I found that useful but unfortunately now the thread is closed.
https://forums.macrumors.com/threads/ios-9-vs-ios-8-4-1-unresponsiveness.1942001/