The path is shown on the map as having restricted access (grey rather than red) and has been correctly tagged with foot=private since May 2022. It is somewhat unlikely that unauthorised users are attempting to use the path as a short cut due to its inclusion in OpenStreetMap.

As it is clearly visible in aerial imagery, the most likely result of deleting it would have been someone else adding it back from the aerial imagery alone, but without any access restriction.

For further information, please see:
https://wiki.openstreetmap.org/wiki/Why_we_won%27t_delete_roads_on_private_property
and
https://wiki.openstreetmap.org/wiki/Why_can%27t_I_delete_this_trail%3F

Reverted in https://www.openstreetmap.org/changeset/167096775