Many thanks gr5.
Problem partly but not entirely solved, unfortunately.
I found that for some reason, Cura 4.4.0 had changed printhead 2 to AA 04 (PVA was selected). When I changed back to BB 04, I can see three profiles - Fine, Normal and Fast, regardless if I choose Tough PLA "generic" or "Ultimaker". When I try PLA for printhead 1, I can also see the "Extra fine" in addition to the others, "Fine, Normal and Fast". No other profiles can be seen.
During installation of 4.4.0, I chose to keep my profiles. If that is the problem - can I erase all old profiles in 4.4.0?