Another succesful repair based on @indman advice - thank you very much!
I my case, I'm 100% sure the transistor was blown while I was doing some AC current measurements (from a 12V wall wart transformer), so there is a common thread here, and a million billion % sure I did not just short the source with the mutlimeter... which probably means I did. The fuse was blown in either case. Thanks to this advice, I was able to easily verify Q4 was blown (shorts across all terminals), and replacing it fixed the problem.
By the way, I can confirm that uA/mA ranges on the newer version are different. On the mA/uA socket you now get 99.99 mA (I guess that's a proper mA range) and 9999 uA. Older version had (I think?) 999.9 uA and 99.99 uA instead, so it's a weird tradeoff (less accuracy for a proper mA range). Haven't seen much info on how good the <1uA accuracy actually was, so maybe not much tradeoff actually.