Reflux is a small concern with Tymlos or Forteo. The great thing about these medications is that if you have adverse reactions, you can quit them with little damage as the drug leaves your system after 24 hours.
Prolia increases risk of infection. It's good to hear from @lautwell with no side effects. I understand that there is no risk of reflux with Prolia. And small risk of reflux with Reclast.
Side effects with these medication can be long term, if they occur.
Your rheumatologist is an osteoporosis expert and can prescribe the anabolics. You might want to know the providers reasoning. Anabolics are more effective if taken before antiresorptives. But you have looked at them, and that's all I wanted to be sure of.
Best wishes, tough choice.