"In addition if you can not yet begin the tasks to upgrade the weapons, they may be stored with Ghanraam in exchange for 1 Imperial Bronze Piece per weapon, although this will also erase any weaponskill point data associated with that weapon."

My question is this:

I have 4 latent broken Nyzul weapons that I thought I would store and 2 not started at all.

Would storage of the 4 that are broken remove the WS associated with them?

I didn't store them because there was a very clear message when trading and the above quote from wiki is not entirely clear, at least not to me.