I think there are several differences here. Experts can give a ton of useful information, but they unfortunately can't answer everything for everyone for something as unprecedented and complex as Covid. In particular:
1. Experts speaking publicly are often warning of risks rather than saying "don't do X." It's a subtle but important distinction, and is very different from personal medical advice. Publicly stated guidance often leans very conservative, and there's more room for an individual to decide it doesn't apply to them than a doctor specifically telling you how to a heal your injury.
2. It's unclear which experts you're referring to and what exactly you're hearing from them. The restrictions in your original post aren't what I've been hearing, for example. Either we listen to different experts, or we're interpreting their words differently (per point 1) - or both!
3. Nobody is quite an expert in "solving Covid" the way they can be for healing an injury, and on top of that one can have reasonable yet fundamental differences with experts on Covid that don't exist for healing a broken bone (e.g. how you value the impact of mental health problems vs Covid illness; or what your level of risk tolerance is; or even the morality of potentially spreading covid, which is less bad than in 2020 since vaccines are widely available, but is it less-bad enough?). Experts can inform you of the risks of Covid, and how to reduce those risks, but it's much harder for them to tell you the negative consequences isolation: you know better than they do what those effects are on you, and so you have to weigh the risks yourself.
4. As you pointed out in your original post, there isn't a clear goal right now for Covid mandates. Healing a broken bone has an end goal that you and your doctor won't disagree about. But Covid currently doesn't, because there's sadly no expert with who has a really good answer to this: the vaccines worked, but not perfectly, so what's next? Nobody really knows, so you have to apply your own judgment (whether it's "lift mandates because we have vaccines and no clear next step" or "keep mandates to further contain Covid risks till we figure out a better strategy"), and hold your local politicians accountable to that.