I am aware that some therapists I personally know of are extremely concerned.
Right, because the thing being effectively criminalised is "talking about reality to a 'trans' person'". How do you work like that?
The reality point is the fundamental problem.
"Conversion" for a gay person means attempting to change something in reality. Trying to change actual real behaviour. And in the case of sexuality, that's pointless, and has proven to be futile.
"Conversion" for a "transgender" person has nothing to do with reality at all. "Transgender" isn't real, so any sort of "conversion" isn't doing anything material. "Transgender" is a way of thinking - therapists' job is helping people's change their way of thinking.
Reality for "trans" people is "you will never be the opposite sex" and most often "no-one will never see you as the opposite sex", and "any medical intervention will have life-time health consequences, even if there are no complications". That reality isn't going to change, all a therapist can do is point it out, or not.
If they point it out, they're not "converting" anyone - they're just telling you something that's always been true.
Back in the day those sorts of realities were very much spelt out to transsexuals leading up to 'transition' attempts, and formed part of consent forms. It appears that these days, that's already rare, but these bills are explicitly to codify that and prevent any sort of reality-check on the path to irreversible choices - the actual real "conversion". It's effectively stopping there being any brakes on the continuum from "transgender" (just in one's head) to "transsexual" (medical intervention).
I can't see anything else being criminalised beyond "talking about reality to someone who's decided they're transgender".