touch vs bear on

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

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

As verbs, touch and bear on are synonyms defined as:

Other synonyms of touch include affect, bear upon, impact, touch on.

As verbs, touch and bear on are synonyms defined as:

Other synonyms of touch include come to, concern, have to do with, pertain, refer, relate, touch on.

touch (noun)	bear on (noun)
the act of putting two things together with no space between them
the feel of mechanical action
a distinguishing style
the faculty by which external objects or forces are perceived through contact with the body (especially the hands)
the sensation produced by pressure receptors in the skin
deftness in handling matters
the act of soliciting money (as a gift or loan)
a suggestion of some quality
a communicative interaction
the event of something coming in contact with the body
a slight but appreciable amount
a slight attack of illness

touch (verb)	bear on (verb)
have an effect upon	have an effect upon
color lightly	press, drive, or impel (someone) to action or completion of an action
comprehend	be relevant to
make a more or less disguised reference to	keep or maintain in unaltered condition; cause to remain or last
consume
make physical contact with, come in contact with
be in direct physical contact with; make contact
tamper with
cause to be in brief contact with
affect emotionally
perceive via the tactile sense
deal with; usually used with a form of negation
be relevant to
to extend as far as
be equal to in quality or ability