Part 171, Applicability: Federal hazardous materials transportation law (49 U.S.C. 5101 et seq.) directs the Secretary of Transportation to establish regulations for the safe and secure transportation of hazardous materials
in commerce... Doesn't look applicable. The paragraph is long, but every sentence appears to end with the words "in commerce".
Part 172, Applicability: This part applies to -
(1) Each person who offers a hazardous material for transportation, and
(2) Each carrier by air, highway, rail, or water who transports a hazardous material.
Similarly, language in this part is limited by "people who offer transport" or "carriers".
Part 173, Applicability, limits the scope of part 173 to shippers affected by this subchapter. That appears to be related to commerce only.
Part 175, Applicability similarly refers to "in commerce".
None of this appears to apply to the average GA, non-commerce pilot.