I can't imagine it would. The difference is, the spring on an automatic has to be strong enough to throw the blade open, while the springiness of a liner lock is only enough to move itself over a fraction of an inch to block the tang. So there just isn't that much tension there, compared to the strength of the materials involved.
I have an LUDT myself, and I prefer to store it closed, for safety -- I don't like an open blade lying around. If this weakens the spring, just as if playing with it too much weakens the spring, I'll spring for a new spring.