I understand what you are saying and am vaguely familiar with lemon laws (no direct experience with a claim, though). Hopefully for you being in the UK you'll have success with a claim should you pursue one. In the U.S., lemon laws are generally related to automobiles but can extend, depending upon the state, to select other products (boats and appliances). My state? Applies to only automobiles therefore a lemon law doesn't apply.
Perhaps this would fall under an "Implied Warranty"

(from the lemon law article referred to). I have no idea and I am reluctant to spend the money on legal advice to find out. Especially since Canyon claims to be working on a resolution. Speaking of which, didn't they say "4 weeks"? Wouldn't that equate to finding out
something during this upcoming week?