Yes. For example, if a rainbow table contains a match for "a" repeating 500 times, then that password's entropy is a non-factor. Therefore entropy in of itself does not necessarily mitigate rainbow table attacks. Entropy does necessarily mitigate naive brute force attacks. We can use this same logic for more reasonably sized passwords that are comprised of known patterns but would otherwise be difficult to brute force.
Obviously you could use extremely long passwords and be fairly certain that you won't end up with something that would be found in a rainbow table or dictionary. You could also just use passwords that are long enough that they can't be brute forced and remove common patterns from the set of possible passwords. Both of these solutions are valid, and both have theoretical weaknesses that are irrelevant in practice.
You've spent a significant amount of time trying to convince me that my random password generator is flawed in some way. Why don't you just demonstrate how instead of continuously trying to argue tangentially related theoretical points? I would hope that such an effort would be motivated by a practical concern and not merely the desire to bikeshed out of boredom.