Nah, won't cause damage. A lot of techs will reflow and add a bit of solder and it's usually not an issue, or it lasts long enough it doesn't matter. This is one unit where every factor is against you, so the chance of joint failures is high. I typically see excess solder leading to improperly formed filets, etc. As long as you're not damaging the board no issue.
The issue with Lews unit didn't recur here on its own. I had to flex the board a good amount to get the joint to open, and that in turn caused other joint failures that needed fixed. It's a bear to do right.
