Hi everyone,
thanks for replies, experiences and suggestions - unfortunately I didn't see the last two until today, when it's probably a bit late for additional measures and specialist visits.
Still, let me report how it went on and how it is now, if useful to someone someday.
Short: still not completely ok!
Long: improvement was (and is) very slow, even now I can't fully load fingers without pain or next-day pain (especially in the morning - first few minutes some fingers are stiff and hurt if I try to bend them, after a few moves they become ok and painless again, but during the day sensitive to greater loads). Problem mainly when fingers loaded sideways - I carry heavy shopping bags with fingers no problem, opening tightly closed pickle jar is a challenge I don't dare tackle with full power. Most sensitive are middle and ring finger of right hand (and a bit less ring finger of left), most other fingers on both hands now completely ok.
Luckily I do most daily things without thinking about fingers for some months, yay!
Of course no climbing in this time, but in other sports last few months carefully and slowly loaded fingers too, with lots of warm-up before and gentle stretching after (holding badminton racket at start of playing (when I finally could really hold racket) a bandage tape helped a lot, with which I taped problematic fingers 'in H').
In winter noticed that cold worked well especially, so didn't wear gloves. I conclude that exchange of cold and heat improved circulation, so now I soak hands daily in cold or alternating cold and hot water. After lots of online sources read, it seems smart to also strengthen finger extensor muscles.
Anyway, first return visit to climbing wall I plan only in summer, full year after injury, which seemed unimaginable then
Probably it would have been all easier and faster if I had gone to specialist right after injury, but unfortunately didn't know where and now it is what it is.
As few injuries and as much health as possible to you (and myself too)