Hi, welcome to OSM. Aside from adding comments or sending a message there isn’t a way of suggesting a change- when you change the map it takes effect immediately.

Applications that use the OSM database typically update much less often. It will take weeks to months (or sometimes years) for a small change like this to get propagated everywhere. For example Caltopo does an update 2-4 times a year. Gaia used to do it every couple weeks but has slowed down significantly. So be patient.

Generally speaking it is often better to use access tags (like access=no) and lifecycle prefixes (closed:highway=path) to prevent a way from being used and showing up on a map. In this case deleting it is probably fine though but a discussion on the original changeset https://www.openstreetmap.org/changeset/59557696 would have been a good place to start. The author has been working on tagging climbing routes and is pretty active.

Thanks again for the contribution and let me know if I can help with mapping trails around the park 