I too believe there is no question Foster’s body was moved from White House grounds and his office cleaned out. However, if Foster really cared about Hillary, he would not have carried out the act at the White House.
Someone killing themselves due to embarrassment, debt, physical pain, fear, or honor might well consider the effects on others. People who are depressed to the point of committing suicide are past caring about much of anything. (And that is actually a tiny implication against a despondent Foster driving to Ft. Marcy Park to commit suicide — it would have required too much effort.)