This is true only if your UA holds an air-worthiness certificate
or any person suffers serious injury or death. One (or both) of those two are requirements to trigger the report to the NTSB. This would not be the case with a DJI consumer drone in so far as needing to report a fly away or the other stuff you mention. Serious injury or death? Yes. The other stuff? No.
REQUIREMENTS
A civil UAS operator must immediately and by the most expeditious means, notify the NTSB of an accident or incident. An unmanned aircraft accident is defined in 49 C.F.R. § 830.2 as an occurrence associated with the operation of any public or civil unmanned aircraft system that takes place between the time that the system is activated with the purpose of flight and the time that the system is deactivated at the conclusion of its mission, in which:
(1) Any person suffers death or serious injury; or
(2) The aircraft holds an airworthiness certificate and sustains substantial damage.
Since you are studying for the 107, here is what you must know about accident reporting to the FAA.
No later than 10 calendar days after an operation that meets the criteria of either
paragraph (a) or
(b) of this section, a remote pilot in command must report to the FAA, in a manner acceptable to the Administrator, any operation of the small unmanned aircraft involving at least:
(a) Serious injury to any person or any loss of consciousness; or
(b) Damage to any property, other than the small unmanned aircraft, unless one of the following conditions is satisfied:
(1) The cost of repair (including materials and labor) does not exceed $500; or
(2) The fair market value of the property does not exceed $500 in the event of total loss.