generater not in use

Nope. Should not hurt it.

Although seems like it would be easier on you in the future to have a friend dump in the salt (takes 10 minutes), so you do not have to add bleach every day.
 
I would add that ANY piece of equipment left idle for several months is likely not real good. Although it shouldn't hurt a thing, there may be some cleaning out, etc. that simply happens when man-made things are left untouched.
 
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