Well, arguably, maybe not.

Relocating it into more distant water cycles kinda dilutes the dilution, so to speak. Rather than dumping a bunch of fresh water directly into salt water, it lets it trickle back slowly and gives ocean water a bit of a buffer to disolve more saline, and gives it a chance to get stuck on terra firma somehow.

I didnt expect a good explanation for this, but harvesting broken glacier isnt a bad idea on paper.