My friend uses the one handed job, Mark, his is the blue one. He has used it with numbered discs as well, the queen holding grid is thinner and maybe more gentle than the rigid one on the plunger type cage. I've used the turn and mark type for a while and COT before that and both can be a PITA.
COT
Pop it over queen, press down to hold her, quick mark, let her dry etc. Sounds easy, it always is. Not so easy with nine million workers covering it, refusing to move and getting agitated, not to mention nine million more trapped in the cage with the queen.
Plunger types
Pop it over queen and wait for her to start climbing before adding plunger etc etc
She refuses to climb and runs in circles, instead you try to coral her and chase her into the tube. When all is done and you go to release her and the sponge stays in place, having come away from the plunger.
Hands on
Pick her up, hold her safely, mark and return. Far simpler.