These types of threads are all over this site... as a head coach... here is how our program runs. Please understand that I am not calling anyone "wrong".
Question: If wrists are sore or painful... then what does your club do?
Answer: Rest. 100% of the time the athlete stops everything that is hurting the wrist(s). We have many activities that we have designed for athletes to do that does not involve their wrists.
Question: If an athlete has sore or painful wrists do you put them in Tiger Paws?
Answer: No... we have them rest until they have no pain.
Question: When does your club put athletes in Tiger Paws?
Answer: We put all athletes in Tiger Paws for Yurchenko style vaulting. All of our athletes work multiple styles of vaults and all of them train Yurchenkos. This means that all of our upper level athletes have Tiger Paws and wear them on vault. We do this as a preventative measure... meaning... they get them before the soreness or pain begins.
Question: Why do you put your athletes in Tiger Paws for Yurchenko style vaults?
Answer: This is where we keep noticing the "soreness" or "pain" is coming from.
Question: Can your athletes wear Tiger Paws on events besides vault?
Answer: We have no rules regarding this... however... we currently have no athletes that wear them on any other events.
Question: What else does your club do for wrist overuse injury prevention?
Answer: We do a few very simple things that I will list below...
#1... We NEVER teach "t-hands" or "car in the garage hands" for a roundoff. In the following video... we DO NOT put our hands like this. It causes extreme bending of the second wrist. We place both of our hands sideways like the first one. Due to the fact that we are not teaching this strange hand position... we get more natural movements on our roundoffs. If you teach this "t-hand" method and your athlete has wide hands... you will destroy the second wrist. This is extremely important on Tsuk style vaulting as well. We do not teach the second hand to point back down the runway with the fingers... in fact... in a developed and strong athlete... we will turn both of their hands out.
#2... We do the mens national team style wrist warm up and strength every day.
Watch the whole video... but #7 were I started the video is the end result...
#3... We focus on 1 out of 1. If you try 1,000,000 presses and fail at all of them... then you will still not be any stronger. We focus on 1 out of 1 up to 10 in a row for presses. This means that an athlete that cannot do a press has a better chance of getting the press if they are spotted on 1 press per day. Trying and failing at 1,000,000 does not do much for strength and it definitely makes the wrists sore. This mentality does not just go for presses... we clearly define when an athlete needs more "practice" and just needs more numbers to figure it out vs. when they should be "hitting". If they should be "hitting"... they have a limited number of attempts to get as many successes as possible. For example... if they are on beam and they have a back walkover in their routine... they will get no more than 2 warm ups and 3 full routines. At 5 attempts they will not longer be allowed to try more back walkovers that day... regardless of successes.
#4... Almost all of our body line word for handstand shaping is done either on the floor while laying down... or on a bar with "knuckles down". And always with the thumbs around the bar to put the wrists in a straighter position.
My daughter was little here... but you get the idea. Wrists should be straight and not bent at 90 degrees.