To each their own

Here's another of those traditionalists decrying the use of the singular 'they'. As far as I can tell, his objections are: (a) that he doesn't like it; and (b) tradition. I've nothing to add to what I've said before on this. I do find it interesting, however, that he seems also not to be comfortable with using 'she' where you mean 'he or she' (or, indeed, the singular 'they'). What possible objection could there be to doing so, when 'he' was so long used in this way and still often is? Mix it up, that's my view: say, now 'she', now 'he', now 'he or she', now 'they'. It will help to end such pointless pedantry.