Yes they'll still work as normal, the bridge is only for keeping the dipped beam on when you turn full one on to give you more light (like is the case if you only flash you full beams BTW).
That is no problem, nor illegal with dual ones, but with single ones it was never fitted because they would be too bright (illegal) and more importantly your bulbs would keep burning out when using full beam.
You'd be going into Halfords every other week for a new set of bulbs.
