The Typhoon's engine was not very reliable. Were that not bad enough, it was almost impossible to ditch the aircraft and survive. This was due to the wing, not the big airscoop, because the Tempest could ditch quite nicely. So if a Tiffie was over France and the engine started acting up, there was a difficult decision for the pilot. Should he come down in France and risk being captured or killed, or risk crossing the channel, where a ditching meant almost certain death?
I think the first fighters to operate off airstrips in Normandy were Typhoons.
In contrast, pilot's flying the Tiffie's predecessor, the Whirlwind, would cross the Channel even with one turnin' and one burnin', despite the fact the props could not be feathered.