bother vs bear on

bother is a noun but bear on is not a noun.

Word	Noun	Adjective	Verb	Adverb
bother	Yes	No	Yes	No
bear on	No	No	Yes	No

As verbs, bear on is a hypernym of bother; that is, bear on is a word with a broader meaning than bother:

Other hypernyms of bother include affect, bear upon, impact, touch, touch on.

bother (noun)	bear on (noun)
something or someone that causes trouble; a source of unhappiness
an angry disturbance

bother (verb)	bear on (verb)
cause annoyance in; disturb, especially by minor irritations	have an effect upon
make confused or perplexed or puzzled	press, drive, or impel (someone) to action or completion of an action
make nervous or agitated	be relevant to
intrude or enter uninvited	keep or maintain in unaltered condition; cause to remain or last
take the trouble to do something; concern oneself
to cause inconvenience or discomfort to