I am sure DAN, PADI etc. will issue warnings and reports and statistics once they find evidence that Valsalva is dangerous and responsible high portion of the barotraumas. That DAN documentation you shared is super basic, off course we have to inform the divers about the risks of overdoing it. Same way we tell them holding breath during diving might cause injuries.So facts are scaremongering? LOL.
Yes, of course we want beginners to equalize timely and correctly, but the problem is when we ASSUME all students can successfully do a proper Valsalva. That is demonstrably untrue. They need to understand the point is to equalize, not to do a Valsalva, and there are several ways to equalize, each with pros and cons. The cons of Valsalva are insufficiently mentioned, and the pros of other simple methods are rarely mentioned. There is a broad spectrum between Valsalva and something requiring being able to wiggle your ears; it is a false dichotomy to say that anything other than Valsalva is too hard to teach and too hard to do.
I highly recommend you watch best to start 24:27, there are some tips to help teaching it.