I'm confident that most Brexit supporters wanted, and still want, the best for our country, even though I disagree with them over what that means. What I would call "pseudo-patriotic" would be the claim that the reverse isn't true, and that Remain supporters are traitorous, treasonous, treacherous, anti-British, victims of Stockholm Syndrome, etc etc etc. It's not difficult to find numerous examples of that rhetoric on AB and in the wider political debate, both before and after the referendum.
That Leavers were able to claim patriotism only for themselves is more a failure of the leaders in the Remain campaign, who seemed to rely only on selling fear rather than benefit.