Take the glove off between pitches? I’ve never heard of that. I coach a 12u team, that glove could be one of ours. I’ll have to get a pic of the A2000 my son just got from his cousin that committed to Baylor to play baseball.
I repair and tune gloves for several pro teams and a lot of colleges and high schools. If you watch players, especially pro and college they take their gloves off between pitches and wipe the sweat off of their hands on their pants. About the only pro players that don't do that are the soft handed guys that like the hard stiff feel of brand new gloves. Matt Williams was like that when he was with the Giants. Once a glove started to get the feel of breaking in he picked up a new one.
Here are some basic rules for maintaining leather gloves, not the cheap vinyl WalMart gloves. If a glove has leather piping it is a good glove, a glove with vinyl piping won't last a whole season for a serious player.
1) Never oil a glove, never means never. If the glove starts to look dry only use Rawlings Glovolium because it has only natural lanolin and water in it. I don't care what your coach, 25 other players, or the pimple faced kid at Scheels that sold you the glove said, don't oil it.
2) Never use shaving cream on your glove
3) Never steam a glove or put it in a microwave
4) Never pound on a glove with a mallet
5) Never put two softballs in it and wrap it with rubber bands
6) Never let anyone put their hand in your glove. You wouldn't let them put their hand in your girlfriend and you are going to have the glove longer than her.
7) Never throw a glove in a bat bag and pile a bunch of crap on top of it
8) Never lay a glove flat and leave it there
9) The only way to properly break a glove in is to play with it. When doing that the glove breaks in to the shape of the players hand and playing style. See rule #6
10) When storing a glove put it on a glove stand or spread the web and set it on the tips of the fingers or on a table with the edges of the thumb and pinky with the web spread open.
This is one of the many warnings that come with new Wilson pro quality gloves.