Rather than deleting the end segment of Palmers Drive, it would have been better to split the way and tag it appropriately. In this case, it would probably be highway=service + service=driveway + access=private. If there is a gate, you could add it as a node tagged with barrier=gate + access=private.

You may find this page on the wiki useful to explain the rationale for not deleting private features.
https://wiki.openstreetmap.org/wiki/Why_can%27t_I_delete_this_trail%3F