I have changed it to tertiary.    I am guessing you've never been there (which is fine as you merely raised a question).   I'm more or less local and have driven on this road multiple times.   While I agree it's not validly secondary, it is very important locally, and while you said "parking access", the parking lot is enormous and has probably thousands of cars in summer.  You just can't see it on imagery because the parking is not paved and imagery is captured just before April 1 usually (leaf off), when it's too cold for the beach.   The road is also used for the Crane Estate, also a major destination.  So in summary, you are right about secondary being excessive but it's more important than it might look.

Happy to discuss in depth with anyone who's on the ground and especially who considers this town part of their "I take care of this" area.