Almost certainly yes. I'm not sure the BBC were aware of the bitter rivalry between Southampton and Portsmouth when they named Solent as such, but good job they did !
A good job they didn't call it Radio Hampshire too as two years after it opened the Isle of White ceased to be part of Hampshire
And Bournemouth moved into Dorset
Of course more recently Southampton and Portsmouth are now no longer part of Hampshire
Basingstoke is now the largest town in the county. Who'd have thought that!
Southampton and Portsmouth haven't been governed by Hampshire County Council since 1997 - but they remain parts of the ceremonial county of Hampshire.
Just as Southend remains part of the ceremonial county of Essex, Milton Keynes remains part of the ceremonial county of Buckinghamshire, and the Medway conurbation remains part of the ceremonial county of Kent.
"What is two plus two?" "Rather more than three." "Yes, but can you be more specific?" "The Belgians."