I had ordered the Uni-T [...] it didn't give any signal without batteries
Seems like the UT18D is the only one in the series that does not signal "deadly power" without batteries - there is an UT18E now was well, that also does this and is otherwise quite similar to the UT18D.
Meanwhile the VC-55 arrived. It does have less features than my old VC-58 - no RCD test, no voltage measurement below 12V, also no frequency display.
But I don't really need all that so I guess I'll keep it - it has the 4mm probes, beeping on high voltage, a warning LED for live circuit even with dead/missing batteries and the two probes can clip together for putting it in a socket (and leaving it there for a while).
The interesting thing is that on my old VC-58 everything else works: high voltage warning/beep, background illumination, flashlight at the big probe, RCD test - even dc voltage measurement works as I just realized. Seems like only AC voltage measurement is broken. I would try a repair, but the case seems to be glued together, no screws anywhere except the battery compartment