I believe we're now getting into tautological arguments here. Sure, some folks are in the habit of referring to basically everything we do in a coordinated fashion as "drill". And yes, if we use that categorization, then the first drill that's done is on the parade square.
But you don't need to start with that, and you don't need to focus on it, and you don't need to keep doing it. If you want to teach people how to handle a weapon, you don't need to teach them to march around in formation first. You can just teach them weapon handling drills such as your TOETs, etc. Just because we do start with parade drill doesn't mean that we need to, nor does it mean that it's helpful. Jumping straight into the useful stuff will also do the trick. No one ever needs to know how to do a present arms in combat.
We can still categorize drill into "stuff that's actually applicable to combat" and "stuff that is ceremonial". And I thus far have still never heard a valid argument for why skipping the ceremonial stuff and going straight to the practical stuff would somehow make the prcoess worse.
Just because we've been doing something the same way forever is not a valid argument for continuing to do so. You need to actually demonstrate the value of the things we're spending time on.