I have a bunch of L lenses, both primes and zooms. Some were keepers on the first try, others not.
My impression from having followed this Forum is that some lenses show more sample-to-sample variation than others. For example, the 24-70 f/2.8 L seems to show quite a bit of variation ... but I don't recall anyone posting bad experiences with the 135mm f/2 L.
Whether L or not L, trade-offs must be made between the amount of variation which is considered acceptable to ship from the factory vs. the cost of manufacturing (and thus the selling price of the product.) For L lenses, one might expect much tighter control in an absolute sense -- but I believe most L designs are intrinsically more difficult to manufacture than non-L designs, so the effective amount of variation seen by a customer may be the same, or possibly even greater.