The quick animation if you immediately jump into an app and hit the home button is still present. It's just after you've been in the app is when the home button slow response is present. Like most have stated, I'd give it a bit of time before jumping on calling this a bug that needs fixing.
Speaker audio is noticeably better on my 6s Plus. The last two betas or so it was sounding very muffled/staticky at high volumes.
Also noticing a delay in Apple Watch notifications running the latest watchOS 3 beta with this iOS 10 beta release. After the restart they would chime on my phone first before getting to the watch and a restart fixed that but the lag getting to the watch is still there.