I think it depends on the area and individual club.
In High Schools, many of the coaches are former athletes, and use what they learned growing up, or try to make due with what they remember. Usually, they have seasonal clinics by conference.
In rec groups, you sometimes get current or former athletes, high school students who come along to help who need a part time job, or one of the best coaches in the gym - luck of the draw. Generally, there is nothing in terms of direct support other than the occasional clinic at conferences, and the ones that are (at least the ones I have been privy to) tend to focus more on the business aspect of things..
In USAG, etc.. it becomes pretty obvious when a coach cant cut it, and a gym owner will likely look at their bottom line and risk involved in who is teaching their kids. If they do not present knowledge, and they do not show that they can keep it safe, then they generally get picked out and told thanks but no thanks... often times, however, that time comes after a kid gets hurt, and the coach cannot explain their actions... and then, sometimes those coaches move on to other gyms...
Just like in any other job, career choice, or hobby - there are those who love it and know nothing, and those who know everything but cannot get it across.
Every year, there are clinics available. Many are paid participation (that is, you have to pay your way in to pay for the presenters), some are in house and skill updates within the gym or gym network (such as multiple gyms owned by the same owner/group).
In my experience, good coaches find a job and hold on for dear life. Bad coaches float around, a lot. There are exceptions to this rule, as with everything, but it has been my observation.
I think the bigger issue here is your (apparently) being uncomfortable with something... if that's the case, I suggest you speak with the owner about it, or the head coach if applicable. Questions are always good. Accusations are not. Waiting till your kid is the one that gets hurt is worse.
Just remember, gymnastics is a dangerous sport, and even with all the best teaching methods possible, and all the injury prevention done "right," there is still the chance for injury or failure. It's one of those things that makes our sport so unique... but then again.. I can always ram myself head first into another well padded player and still get a concussion, or land awkwardly from a rebound I have done a thousand times and rupture an Achillies... life happens, and life goes on.
Im glad that the one coach is pro-active. More coaches in ALL Sports should be. Gymanstics in particular. I know I spent a better part of a decade talking to coaches all over the place, and learning all I could through reading, video, and seminars. For all the experience I have, and what I "know" is right, I learn new things every day, and I disagree with some things that coaches say and do regularly. I have to say that I have been blessed as a coach to find the chalk bucket, and be surrounded by like minded coaches who share similar developmental and proceedural philosophies to help make me a better coach and educator.
/end rambling...
