More likely they are serviced properly. Regulators should not free flow, cold or not. The cold water excuse is a frequent one but my experience is just like yours, surface 2nd stage only and then stopped easily.
Sometimes it has nothing to do with servicing. I never had a freeflow myself during a dive with 1 of my regs which are never serviced, or serviced by myself. Never serviced means here they are checked regularly by myself, but never be totally serviced because they are relative new. I service myself when it is needed. I own Apeks DS4, Scubapro MK17, MK19 and Aqualung Titan LX Supreme.
But I had after letting servicing the Titan by an official technician several freeflows (it was in the time I didn't know how to service myself). Every time I went back to the shop and when I thought it is now ok(a week no problems), I got a freeflow after coming from 110m/360ft depth when I switched to the EAN50. All no problem, close valve, open it to breath, close it again. But after 5-6 breaths, there was no gas coming anymore. A full cylinder, 25 dives after servicing, several freeflows before this dive, but the last 10-15 dives no freeflows anymore. We finished the dive with no other issues and problems, no stress has been there, but I went to another shop to let them look at my regulator which had worked flawlessy without servicing for about 450 dives and gave problems after servicing. They found that there was a part wrong assembled. Then I decided to follow a course to do servicing myself. So this reg was 'serviced' well, but gave problems.
Another thing is the breathing pattern of some divers. They get more freeflwos at depth in winter. And when others take the same regulators, then no problems.
I only got freeflows when I walked or jumped in the water and the regs touched the water on the purge button.If the outside temperature is just a few over freezing temperatures or below, you cannot stop the freeflow as the first stage will freeze too. The only way is to close a valve.
Some divers cannot imagine this, but it is really happen here in winter.
This is why it is adviced for sportsdivers (recreational diving) to have 2 first stages and a dual outlet valve. I will not dive with sportsdivers under ice if they don’t have this (ice diving is overhead, but a sportsdiver specialty here).
And even if you service every year or every 100 dives, some divers get salt and moisture in the first stages, some already after a few weeks or months, the first stage is then not clean inside anymore and will maybe not work properly anymore.