No. Challenging a statement is to put the onus on the statement maker to back up their position, otherwise you get a situation where only statements can be challenged if the challenger knows differently. Which is ludicrous.
Make a statement - make sure it's sound. Otherwise we get propaganda.
Now, back to the point - Tory policy is the issue here, not EU Legislation. Ergo there is little reason to Brexit will change this (a possible economic upswing may do so. But Tory policy suggests business would benefit, not service provision). Ergo, Brexiters are getting what they voted for.