I would just add to what's already been said that for most players getting spring tension just right -- which is more critical to some players than others -- is sort of a process and is likely to take more than 1 go. Meaning: usually it will take you a few visits to get the spring tension just right, if you are picky about it. I'm picky, but it's individual, and I know that the way I'm picky is different from other people -- what I like may not be what someone else likes. I like a stiffer B2 spring and a stiffer F1 spring than you usually find on people's horns.
Arguably, more people should and would be more picky about spring tension if they learned to adjust springs themselves (though that requires a warning that if you play with this you may break springs, and if they break off flush with the post you could have expense that's sort of oversized for the improvement you were seeking).
Spring tension changes on one or two keys can change how you hold your entire hand, and how smooth the entire hand feels.
For me, the way to adjust spring tension is to play and adjust and for me it takes at least 20 minutes to get warmed up to the point and connected (or however you want to put it) to the horn closely enough that issues present themselves to me as I play, as sticky spots ergonomically. For that reason, when for example an overhaul is local I would rather ask the player to take the horn home after I do my initial set-up, and then take notes on what they're experiencing on the horn -- the more detailed, the better -- and then I can make improvements to spring tension based on their notes, and that means there is more than one visit involved.
Before I learned to do repair, it always took numerous visits to get to the point where I was happy, sometimes to different techs, over time.