I don't believe what Justin Webb would have kept quiet about this had he known.
I'm with Pluvia, Webb was very senior in BBC news in the US for nearly a decade until he returned in 2009 to front the Today programme, I think while in the US he was exposed to identity politics and didn't like what he saw, and since he's returned he's seen its rise in the UK which is now why he's a leading BBC voice against the excesses of identity politics, of whatever form, including the gender identity ideology.
In looking around for this post, I had a look at Webb's Wikipedia entry and found this strange account:
In 2022, the BBC said Webb was not sufficiently accurate when he described the philosophy professor Kathleen Stock – who resigned following protests over her views on gender identity and transgender rights – as being "falsely" accused of transphobia. However, said that it was accurate to describe her as a subject of abuse by students.[17]