you're treating it like one of those "not all men" gotchas, "well of course when we said all men are raised as catcallers, we didn't mean ALL men, but methinks you protest too much"
not all corrections of poorly-phrased statements are uncharitable; sometimes the statement is just a bad one
don't say "low skill is a myth" if you don't mean it, especially released to the Twitter audience, good god
it would be
incredibly easy to respond to the first tweet by (first of all) correcting the conflation of education level with the job one finds oneself in, and segueing from that false conflation to the other one that conflates skill level with whether you deserve abuse
the
most charitable read would be the one that assumes as a politician, it ingratiates her more to her constituents to imply that she sees you (yes, you) as being highly-skilled
Pointing out that there are skills needed for waitressing or that valuable lessons were learned while doing it, is a way to get people to reevaluate the skills needed to do such jobs and to combat the idea that high availability means low-skill and thus low value.
high availability DOES often mean low-skill, and we should not combat this idea if it is true
but low-skill does not mean low value, this is the distinction that matters
you've got these things intrinsically linked just like she did, which is just not true, the fact that something is easy to do doesn't mean those doing it deserve abuse