The graphic above with the "best choke" is IMO not 100% accurate. that is assuming the same round (charge, crimp, shot size, payload, wad, etc) in the same gun with the same barrel length. Your SKT2 may pattern different even if I screw it into my barrel. There is no replacement for patterning a shot. Again be no means a pro here, but if you have the opportunity and have friends with the same choke thread patterns it does not hurt to borrow a choke to test patterns. Not to mention develop loads for what you have as well.
Although your statement is technically accurate, from a practical standpoint it just muddies that waters.
I went down this rabbit hole, had 5 or more types of birdshot in my range bag and every choke imaginable from rifled chokes to turkey.
Its fun to experiment, but at the end of the day, you'll be better off concentrating on getting your stage plan perfect and placing the shot in the right spot vs second guessing if you have the right choke and ammo combo in your gun for each stage.
Every stage is supposed to be set up so that it can be successfully completed with a cylinder bore and using the test ammo which meets power factor. This is the calibration gun/ammo combo that the MD/RM are going to use if a popper doesn't fall (for example)
I've had the pleasure of competing in some rather large matches outside of Canada, and once I learned what worked best for me, the only time I changed chokes was for buckshot as my preferred load liked a certain choke constriction best.
Other than that, the same choke was in there for bird and slug, and through practice I knew what my pattern looked like at different distances, placed the shot accordingly.
One other exception may be a wide open hoser stage with clays only. Cylinder choke with 1oz of 9's and spray away. But those are rare.
As to your original question, if your chokes are flush with the barrel, start them off with whatever choke wrench you have and then finish with fingers as was described earlier by another poster.
I use extended tubes so its much easier and faster to remove or screw in on the 5% of the stages where it might benefit to change the choke...