I can't tell if you're offended based on the first line of what you said, if so, I'm sorry, I didn't mean to demean. I know PTs are capable of doing a very thorough P&E, and I 100% believe they should be able to order X-rays. Everything I said was prefaced with "in a perfect world", because, in a perfect world, the PCP wouldn't be rushed to see so many patients per day by unrealistic insurance demons and conglomerate hospital zombies. But alas we're in an imperfect world and perhaps those expectations have bred a culture of rushed physical exams... Also, there's always the possibility they're just bad doctors/are new/having a bad day/who knows?
I think that your story actually helps illustrate what's wrong with a lot of healthcare today. There is too much fragmentation. Urgent care doesn't communicate with PCP...two useless X-rays are performed on the same wrong part of the body, then had to go get a third finally in the right one (Great job btw)...
In what I hope will be a better future with healthcare by the time I'm actually practicing in 5.5 years (im not counting..yes im counting) will be a recentralization back to the PCP hub with streamlined communication between specialists/therapy/emergency/surgical/ancillary services. This way, medical decisions can be me made in real time in a more collaborative effort when warranted: Hey Doc, based on the knee X-ray you had done that I looked at, and based on my own assessment, I don't think this is a knee problem and actually think it could be a hip problem. Given that she has had an X-ray (That both providers in this case can access (when warranted) due to streamlined communication) and based on my own medical assessment, I ordered a Hip X-ray. Then, of course a radiologist would read it, and both PCP and ordering PT/other medical professional will see the assessment and prints, and the proper ortho specialist would be alerted at that time, can see the X-rays, and the patient is sent for surgery. Then after the fact, there would be increased communication in said streamlined communication back to you as the PT who now could take in this patient (as im sure they'll have a lot of somatic dysfunction throughout their life) and should anything ever happen in the future, you don't need to necessarily communicate with the PCP, you've already created a streamlined communication between the orthopedic surgeon who can be updated if any emergent sequela arise. Of course the PCP would be in the loop the whole time by being the "link" between the two specialists. but unless anything really concerns them, they can save the patient time and money by not necessarily always having to physically report back to them.
Sorry for the wall of text.
TLDR: PTs should be able to order/collaborate in ordering X-rays as it pertains to MSK complaints and we need a less fragmented healthcare system in which medical providers (especially PCPs) have a streamlined way to collaborate in medical decision-making to save in costs, time, and unnecessary medical treatment to patients.