I'm not sure exactly what you are asking but I'll share my experience. I had surgery on my uterus for fibroids that led to some scarring/adhesions outside of the uterus and around the tubes. This showed up on an HSG because the fluid didn't spill out like it should..it stayed stuck in a little pocket.
My RE looked at the results, said my tubes probably weren't going to work (because they need to be flexible and able to move around in there) and recommended IVF. We ended up doing one IUI because we'd already pretty much started the cycle and had nothing to lose. Turns out, BFP.
I can't speak to adhesions inside the uterus at all, but between an HSG and a saline sonogram, they should be able to see inside there pretty decently I'd think.