I have a similar issue, (except I was getting it for all gears) I took it to the only shop that services euro cars here and they said there was nothing wrong with it and it felt like a normal transmission... I don't believe them, but they did clean out and re-grease mu shift linkages, and I had the oil swapped out, doing both of those made it feel better, but still not amazing.
When I was asking about this old guy said I probably had a dragging clutch (
click here for thread). I believe this to be the case still. I have mostly adapted to the point where I naturally shift with the revs perfectly synced (effectively floating gears, except I still use the clutch).
My symptoms started out exactly the same as yours but within a couple weeks progressed to all gears, especially the 1-2 shift, likely due to synchro wear as predicted by old guy. In fact, my clutch was also change shortly before I bought the car, according to the previous owner of course, but I have zero paperwork backing that (or anything other than ownership) up.
Interesting that its better in the cold for you, my transmission feels way smoother after its warmed up (I live in the Rockies where its regularly -20C).
Unfortunately non of this is a solution, but you should check your clutch for fluid leaks as well as other wear like a bent fork.
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