Men could do these jobs as well as women! = True
Because who needs gender stereotypes.
Some women won't be ok with this and will still need female people (with no confusion, discussion or word salad involved, just female people) because it's intimate care = also true. And any male who does not get this should not be doing the job anyway.
Male people will never abuse this access to intimate contact with females and females are silly billies to think they would and to be derogatory and misandrist and Other Words Too for having doubts = Utter Bollocks.
Some males do. Some males will. This is why women need the option of single sex services and for this to mean single sex, to not have to fight about it, and to choose whether they will intentionally take the risk that this particular male may or may not be capable of appropriate behaviour towards a female.
Those poor women 