I agree with Mort .
By the rules (since this is the D&D Rules forum) it would not help you.
(the same argument could soon be asked for spider climb and grapple checks as well ).
If you wanted to House Rule it, that's a separate matter. Though, I caution you back to Mort's words -- it can lead to people wanting to liberally interpret other spells and can get out of hand.
Possible House Rule may go something like: If a defender of a disarm attempt has a spider climb effect, he gains a +x circumstance bonus. (x being whatever the DM decides is appropriate for a consistent benefit from this spell; maybe a +2 or whatever ...)