Good that is an actual argument instead of just assuming that what 5 or 10% or 20% of the actual viewership will get are offended by standard language use enough for this to be worth spending effort to rerecord the video.
If using gendered pronouns messes with actual rationality, then we should totally do away with them.
There are extremely-low-cost ways to avoid male-gendered-defaults - everything from alternating pronouns to repeating the antecedent to using "they" as a singular. At almost no cost, and with potentially significant upside, it's an easy win. Easy wins are good.
I've just launched WorldviewNaturalism.com, which is intended as a simple "landing page" to be used for introducing your friends to scientific naturalism. Many of the recommended readings linked there are written by LWers. Enjoy.
(This is a very old personal project on which I've spent a few hours per month, and it is not at all associated with the Singularity Institute or the Center for Applied Rationality.)