There are few near-complete Neandertal specimens. Museum displays are generally out of date and out of step with the most recent findings because they are generally out of money to do anything about it, and also, the most recent findings are coming in continually and will continue to do that. The myth of the ugly, humpbacked, mute Neandertal has developed out of the nitwith R. Virchow's irrational ex cathedra BS, but also the Out of Africa / Replacement model, which is just a master race bias, continues to spew out of the UK. Science is a method, not a body of knowledge, but as the old joke goes, science improves one funeral at a time.
OK, I think I picked up what you were referring to in this reply...