I decided to try my luck and added some silicon based grease to the stabilization stem. cleaned the excess and left a thin layer.
That seems to have fixed the issue (it was present on all keys I tried. I used my Unicomp Model M and a spare shift key I purchased some time ago so it seems to be an issue within the keyboard. Probably the sleeve that surounds the stem is faulty or I damaged when I installed it)
I use the same grease on my yoyos (Danco 80360 waterpfood grease), so I am confident it will not wreck havock on the keyboard (won't destroy plastic and won't leak since it's very thick and I used very little anyway)
I do want another buckling spring keyboard but I can't justify it to my wife

I would love to try a beam spring keyboard too... but, well... wife haha.
Thanks for the suggestion Mr. Lion. I will keep my spare shift key nearby just in case.