While this is hardly
FCC v. Pacifica, I do believe that teams have the obligation to promote wholesome content.
While I do empathize with the OP, as a father of young ones myself who do love a good robot video, I chafe at the callous attitude of some of the respondents here. Of course our kids are being monitored when using technology; we only allow them (or let them know of) safe environments. To me, FRC videos would fall in that category, and I'd be shocked if my children were exposed to questionable content while watching release videos. So I don't think the OP is performing poor parenting tactics at all.
Let's take another view of this situation. Let's say a large company, a team sponsor, is really excited about what the team has accomplished and shows a reveal or wrapup video to its stakeholders, as a shining example of the company's outreach efforts. Can you imagine the outrage in this hypothetical situation when the video is shown, with speakers blaring?* Often when discussing GP, the P half gets forgotten.