Nope. I don't agree either. Nothing to do with insecurity, just different sports or competitions. You would not compare 100 metre times or the likes across genders because you inherently accept that girls won't be close. A report of "Richard Nincompoop won the Sheffield University men's race, beating the British women's record by half a second" would be classed as counter-intuitive and unhelpful.
In football, the boot is on the other foot, i.e. goal records are significantly easier to achieve as the competitions isn't as fierce - possibly within matches themselves, but certainly in terms of the competition for places on the England team.
So men shouldn't be better. They play a different game with different challenges that make records difficult to compare. The BBC quote the comparison purely to shine a light of excellence on Beth Mead by some kind of reflective glory in relation to Rooney. Not needed, as she already has achieved unrivalled glory by being the English record holder in her own branch of the game.
I also doubt that if she beats the record (as she surely will later in the tournament), but then breaks her leg or retires and is reeled in by some guy like Kane five years down the line, that any report would be along the lines that Harry Kane becomes the England record scorer, taking over from Beth Mead.
You wouldn't quote "Alan Shearer has now moved within one goal of Lewandowski's Bundesliga scoring record" if all Shearer's goals are scored in the Prem. More apples and oranges, and no journalist would dream of comparing the two types of achievement because they know the parameters are vastly different.
So you and the BBC subscribe to the same agenda of artificially trying to sell apples and oranges as sub-species of the same fruit. Good luck with that, along with the accompanying trick of labeling fair analysis "insecure" or old-fashioned.