Thanks, rascott and John. It's too late to take your advise, John. As I said, I had at least one set of threads ruined without consequences, but I just got a bug up my butt and thought the abundance of caution was worth the hassle.
I got the last two helicoils in. I used a piece of tubing to go between the helicoil and the collar which allowed me to screw in the helicoil and maintain pressure on the wire to keep it from getting deformed (what I learned was the purpose of the collar). In essence, I had a skinnier and longer collar. The install tool you have, rascott, is like the one I have on my 3/8 - 16 helicoil. Since you screw the helicoil on the tool, the threads support the wire and keep it from being deformed - probably a better type of installation tool since it works no matter how deep below the surface the threads start.