Yeah, I agree that the funnel of DCC is overstated. It really is an Appendix N type of game. I really wish the convo about DCC was more like "Step 1: Roll your unfortunate villagers. Step 2: play through this funnel to show how they became un-villager. Step 3: Play DCC."
You can absolutely do it that way.
What the actual "funnel" concept adds to this is:
A solution to the "I rolled 3d6 in order and now I suck" problem.
Another solution than the "generate four stat lines and pick the best" or "roll 4d6 drop lowest and then place stats freely" solutions, that is.
None of these solutions are necessarily better or more superior than the others, by the way.
But the funnel suits the OSR ethos - you can say with absolute objectivity that you're just a random villager that grew into a hero.
You didn't start life as a hero. The rules didn't ensure you became suitably heroic.
You weren't given it, you took it for yourself. Nobody gave you any bennies that make you more special than anyone else.
Your heroism, along with a helping of courage and luck, is what separated you from the rest. Not that you, say, got to roll 4d6 where everybody else only got to roll 3d6.
That difference can come across as unimportant or like a mere detail, but it signifies the huge shift in perspective that's so central to these types of games.