Yes, exactly this!
Apologies if this sounds a bit pompous, but the words we choose for things often our parameters of thought. That’s why I got a bit caught up over here with terminology about what we call Monzo (and why all new starters at Monzo should have it drummed into them they’re building a finance-hub).
As you say, we need to think carefully about the Budget word. I really like the “making a plan for my money” line instead. 