Regarding passport control, we regularly use the chunnel with our car, as my wife doesn't need to get out of the car into her wheelchair and vice-versa.
We can't say we've noticed passport checks taking longer since Brexit, but we have observed the following:
It sometimes seems to take an age to scan passport chips. Are they still using ZX or Commodore computers?
Sometimes, even in holiday season, only two cubicles will be manned out of nine. Why?
Why can one passport officer process nine full cars ehile another processes four?
Pre-Brexit we used to sail into Hull. The Rotterdam ferry arrived at 0800, and passport staff processed the entire ship, before driving across the port to process those arriving from Zeebrugge. This often led to us driving off the ship, and sitting on the dock for around an hour before our queue moved.
So I reckon UK passport control needs to up it's game.
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