Well, to be fair, the message thing, (except, on Kaija love path) gave me more the impression it was for his sister, (Fiona or Elea if on any of those paths) than for his parents and Kaija, even if you didn't burn the briges.
MC is aware Templars are monitoring him, although maybe a bit more lax since the first immediate danger is over.
anyway no point in going in details, since it is pretty vague in the VN itself.
To support GOA s angle, yes, If it were me and even I didn't cut ties to my family, I would answer to Kaija or my parents asking me where I was, with a " is not your bussines"