I too got fined for driving through the bus lane outside the Hilton. I won.
I appealed on the grounds of inadequate signage given that the only sign telling you it's a bus lane is positioned after your only means of avoiding it ie by turning right onto the Megabus bus stop side road of Kingsway. (They still haven't improved the signage btw).
I know it's not the same location as the OP but it's always worth appealing.