All looks pretty clearly like classic British tabloid behaviour, trying to out a closeted celeb for doing something that nobody bats an eyelid at when it's a straight person doing it.
By all accounts the "young person" involved was in their 20s and is estranged from their parents, who are trying to reassert control in a way that any paper with decency would realise was abusive - but it's the Sun, and any chance to stick the boot into the BBC will be taken. The "inappropriate messages" that are being shared are extremely boring and, at worst, a bit weird (why is this person replying to random DMs from people on social media?) rather than anything like "grooming", and it also sounds like the figure involved has become "abusive" in the panic that this embarrassing information about their personal life is about to become public. Really don't see how there's any public interest in any of this.
Even more disgraceful considering how many genuinely abusive men there are in positions of power within the media and politics in the UK, where journalists are unable to report because this country's libel and privacy laws are so tilted towards those with money and influence. This also feels like an escalation of the far-right's mainstreaming of "groomer" discourse as a way of attacking LGBTQ+ communities - as always, trans people have proven the canary in the coalmine.