That is not how I read the rules:All Drones have to be registered with the FAA, commercial or not. Drone pilots have to pass an FAA test and carry a "Small USA Certificate of Registration" while operating a drone. The rules set forth by the FAA are very specific.
This applies to all RC aircraft as well.
https://www.faa.gov/newsroom/small-unmanned-aircraft-systems-uas-regulations-part-107
https://www.faa.gov/uas/commercial_operators/operations_over_people
§ 44809. Exception for limited recreational oper-
ations of unmanned aircraft
(a) IN GENERAL.—Except as provided in sub-
section (e), and notwithstanding chapter 447 of
title 49, United States Code, a person may oper-
ate a small unmanned aircraft without specific
certification or operating authority from the
Federal Aviation Administration if the oper-
ation adheres to all of the following limitations: (emphasis added)
(1) The aircraft is flown strictly for rec-
reational purposes.
(2) The aircraft is operated in accordance
with or within the programming of a commu-
nity-based organization’s set of safety guide-
lines that are developed in coordination with
the Federal Aviation Administration.
(3) The aircraft is flown within the visual
line of sight of the person operating the air-
craft or a visual observer co-located and in di-
rect communication with the operator.
(4) The aircraft is operated in a manner that
does not interfere with and gives way to any
manned aircraft.
There are additional paragraphs, but these are the more relevant ones.