I disagree with the notion that FP followed by Sports Medicine is a better option for your interests. I think what this shows is a lack of understanding in terms of what Physiatrists do and what we learn during residency. While we are doing a better job now educating people about what we do, clearly there is still work to be done.
At our program, we are required to do 3-4 months of EMGs, 3 months at the Spine Center working with Spine Surgeons and Spine Physiatrists, 2 months of MSK medicine, a Pain Management rotation, 2 months of Neurology, 2 months of Spinal Cord Injury, and two months of Amputee. Additionally, many residents do a MSK Radiology rotation, a Neuroradiology rotation, Sports Medicine rotations, Interventional Spine rotations, etc. In terms of procedural experience, you can read
this thread. I think we clearly get training that's more relevant to someone who is interested in MSK medicine and in doing procedures. Additionally, if you do a fellowship, you can also do surgical procedures such as spinal cord stimulators, intrathecal pumps, and peripheral nerve stimulators.
At least at the institutions I've worked at, Physiatrists and Surgeons work well together. Our services are highly valued by the surgeons and we refer lots of patients to each other. Also, we can do the workup (MRI, CT, EMGs, X-rays, diagnostic SNRBs, discography, etc.) and try conservative treatment (PT, medications, TPIs, ESIs, MBBs, joint injections, etc.) first. If these measures don't work, we refer them to the surgeon and they are happy to get these patients because they can schedule surgery for them fairly quickly. Most surgeons will want to cofirm the source of the pain generator and make sure that it isn't amenable to conservative treatment before performing surgery. Additionally, we see lots of patient after surgery to prescribe an appropriate rehabilitation program, monitor progress, or because they have FBSS and they aren't surgical candidates.