Greg, in a perfect world that would work. The issue is better addressed with use/abuse of the injury clock. A wrestler may use that time for any reason that they feel they need to. If the ref stops the match due to a perceived injury, like crying, and the inury clock is started, it's legal. Wait until you get into the high school ranks and see wrestlers who are clearly not injured, but are out of shape, using the injury clock as a time-out.

you can blame some gutless refs for allowing that too.

I think you shold read and think about what
I had written. If you have never seen the famous fake cry in the sport than you have not been around It for too long.Absolutely kids really get hurt in the sport and It Is a serious situation to any coach.Its the kids that push the cry baby button to get out of getting their A####es kicked cant explain It to you any other way.It's like black and white If you know what your looking at!!!!

I agree with you 100% Dan

I have seeen refs allow excessive use of power or cheap shots just because a wrestler is a "name". I penalized a well-known wrestler twice in the same match because he did an "up-face" a cross-face that goes up, into and through the nose (illegal application of the move) and he put in a power half (without the half) and started grinding the back of the head into the mat. Cheap shots have no place and should be called quickly, I don't care who the wrestlers are.
And wrestling practices do vary immensely. I tried to help out a team a few years ago and the coach had them doing push-ups and sit-ups for an HOUR!!!! OMG! I took a nap during those sessions for a few days (hey, I'm getting old) then talked to him about the guys getting a better work-out while wrestling, but he wouldn't budge. So I started napping at home and he lost a good assistant. There are very few qualifications to being a coach. It's easy money and little effort, if you don't have expectations for your team.
Of course, I'm sure some states don't have knowledge or experience requirements for refs either. But, each state is independent and thinks their way is the best (a fallacy, yes) and that is their prerogative, unfortunately for the kids. We (you guys and myself) do care about the sport and want to keep the best foot forward. That's why we're on this site. I've been fighting the old boys' club around here for a few years and I'm getting close to just throwing in the towel and walking away from it all. It's depressing to see the potential for improvement, but then fighting the old guard, who don't want it to change. I've talked to AD's (new and old) and refs (new and old). The old AD has his list of refs he will call, the new one needs a list of quality refs, not an old ref list. The old refs have many of the AD's in their pocket, so the young refs rarely get called! Where is the continuation for quality reffing in that? The old ref retires (or dies) and a void opens. Several rookie refs step in to take over his vast network of contracts, screw most of the matches (and the kids unfortunately) and then they will never get called again because the word gets around. Wonderful! Limited training and fewer reffing opportunities. And then they wonder why there is a reffing shortage here.
Sorry for venting on you guys. I like your passion and sincerity for the sport. Have a great day!