Probably not. [name_f]Sienna[/name_f] was already popular in [name_m]England[/name_m] & [name_m]Wales[/name_m] the year before [name_f]Beatrice[/name_f] gave birth to [name_f]Sienna[/name_f] (#22 in 2020). It climbed a few spots over the next couple of years, but has since dropped.
[name_f]Beatrice[/name_f] is a minor royal, and I doubt the average [name_f]Brit[/name_f] on the street could even tell you what she’d named her kids tbh.
Plus that branch of the [name_f]Royal[/name_f] Family isn’t particularly well liked in the UK at the moment, due to Andrew’s links to Epstein. I don’t think people necessarily judge his daughters for that, but I can’t imagine they’re looking to them for name inspo either!