As the molds of SPS process are made of graphite, and titanium will react with graphite at high temperatures, so it seems TiC will forms at the walls of sintered parts and they could not be used for orthopedic applications.
Your consideration is appropriate. On top of that I would add the problem of sintering complex geometries and with a low tooling cost with SPS. Orthopedic applications may require part costumization. If you employ SPS you will need to machine afterwards, to remove the TiC and to reach the desired geometry.
Tooling contamination with FAST technologies tends to be a major problem especially with titanium which tends to pick up just about anything. There is an alternative. What size of component are you looking to sinter?