Sorry but i think that advice with that particular socket/tube base is wrong. Pins on the tube should be aligned and placed under coresponding “tabs” in the adapter under the angle and while holding the tube for the base you just straighten it up and it should nicely snap into the adapter without almost any force used…Line up the tabs and then push the tube directly down onto the adapter using the palm of your hand. Push it straight down, not at an angle.
It takes a bit more force than you think. There is an initial resistance while pushing down and then it just "pops" into place and will be seated very firmly once it pops in.
As for the loose tube base, one of my Valvo AZ1's had that same problem. It should not impact operability, but I understand you can use super glue to fix it (I've never done it myself, just what I read online but please confirm).