I'm quite sure the simple stats. answer to your question is as follows:

Luck is inversely proportional to the square root of the amount of poker you play. To simply further the more you play the less luck there is. We've all sat down and got our asses handed to us by a table full of fish at some point. And we've all taken successful shots at games we were not capable of beating in the long term. Why? The amount of short-term luck in poker is so great. This is why it's important to not put too much stock in your short-term results.

However over an extended period of time this both of the above outcomes become less and less probable. Ultimately after an infinite amount of poker there would be no luck involved.