Updated my 13" 2019 MacBook Air to Sonoma 14.8 a couple of hours ago. I'm now experiencing slow response behavior with the Touch ID. I have never had a problem with it on this computer in the past. Response has always been quick (less than one second).
On first login after the update completed, I of course had to use my password, so I noticed nothing then.
On two subsequent logins, though, I have noticed that it was not recognizing my touch as quickly as it usually does. On the first occasion, I waited several seconds, adjusting my finger position before beginning to try different fingers. Each finger for several seconds got no response. (Apparently the login screen has no visual feedback like other features of the OS that require Touch ID.) Just as I was about to reach my frustration limit, it recognized my touch and I was logged in.
On the second occasion I had a similar frustrating experience, ending again with the login touch being recognized just as the scream was about to leave my mouth.
This time, while logged in I tried features that require Touch ID (logging into this page; Passwords settings panel). Both of these worked immediately, with visual feedback initially, and subsequent Passwords attempts so fast that the visual feedback did not appear.
I have not yet tried leaving it idle for 10 minutes to test the login behavior again. I just now tried locking the screen and immediately using Touch ID to log back in, and it worked pretty quickly, but with a small lag (about a second?) that made me give it a suspicious look.
I will be keeping a close eye on this in the future.