I've never ridden a track bike on a track or elsewhere. Never ridden a road bike in competition either. But your observation rings true for my Masi GC in that in a turn it never seems to need correction. I just think where I want to go and the bike goes there by itself. It isn't especially quick to turn, like the Grandis for example. I would even describe it as "conventional" for mid-70's (to the extent of my experience). But it turns with effortless precision. My Banchi can feel like a part of me, the Motobecane, Gazelle, and especially the Grandis, are always eager to go, turn, stop, whatever. But the Masi not only revels in all those things, it anticipates my thoughts then just executes.

I don't know whether that's a feature of the geometry, or maybe just the way it fits me which I happened to get right by chance because the frame is nominally smaller in some dimensions (e.g. shorter TT so longer stem reach) than my other bikes.

So I'm just curious whether you would extend your "you did not think about the bike" comment to the road bikes, or if it was just the track bikes.

I'm still learnin'.