In exactly the same way that the Phantom, Buccaneer, Wessex, Whirlwind and Gannet all had "Sea" prefixed to their service names - I can see the tradition.
However, using the SHar abbreviation, could the Sea Lightning become the SLig or even with a tweak the "SLug" in service.
On a personal level, I am not dead against the 'Sea' bit if they were FAA assets - but IIRC they are going to be RAF creatures, operated jointly, and will use the best of JFH learnt doctrine to deliver effect.
NB: and I am not taking the P... with the last bit, because the Harrier force in Afghanistan, and prior to that, was doing a good job.