I would use one for sure. Much of medicine is getting tests / labs booked fighting to get certain medicines. Doctors will barely give you 5 minutes only deal with one issue per visit, rarely are available and going into an office can make you sicker. An llm with Doctor powers could offer more. I don't think we are at the surgery point but we are past getting notes and medicine's refilled.
So why not order your own labs? I'm sure you can think of ways to get your own medications if you are sufficiently convinced that this is the best course of action for your health.
Arterial blood gas. Calcium score (may not count as a lab). Skin biopsy for cancer (does it count as a lab?). I'm unaware how to order my own troponin if I think I've had a heart attack (not that that's one I should DIY diagnosis). Prostate specific antigen.
Several of those are more procedures than labs. Of course you can't get someone to do a procedure on you for free. Arterial sticks and biopsies may have nontrivial risks (and commensurate liability risk for the performing provider).
PSA and troponin seem trivial to get. Did you look?