The last concrete attempt was blocked at Dutch and French referenda, not the lobbyists.

That was in 2004. Since then, basically any referendum about anything related to the EU anywhere returns a negative result, with a couple of small exceptions like a Danish defense opt-out.

So the money doesn't really go to the lobbying, more to the population-wide propaganda.

And the money is available, as it's in the interest of both the major state actors as the major corporations for the EU to weaken and dissolve.

This is not exactly, both french and dutch referenda were