And allowing for infinite money to pay for propaganda is somehow not Stalinist?

If you're happy to accept almost literally everyone as Stalinist I suppose so. But if the word is going to mean anything then no, spending a lot on propaganda isn't Stalinist. It is routine governance. If you intend to organise people politically it is going to take a lot of propaganda.

Routine governance in Stalin’s time is what we now call Stalinism. “Just the way we do things” doesn’t tell you much about the quality. Unlimited campaign spending has a huge potential to consolidate power and allow more spe ding in a positive feedback loop.