If her family thought something deliberate happened to her, the absolute worst thing for them to do is "break in" to the house-- trespassing even if they had a key. If they removed items, that is even worse.
IF it ever escalated to a trial (I don't think it will, just saying) the defense would continue to bring that up--potential tampering with evidence.
To me, he looks genuinely sad. I'm back to thinking terrible accident, maybe suicide.