Michael Cannon:
I listened to a Hamilton Project podcast of an intro class to noting where Owen keeps things in the kaya. So when you do noting are you operating from the Four Foundations of Mindfulness? Do you restrict it to one foundation at a time? Do you two? Do you blend all four at once? Like this: Heat, tension, planning, deriding, shifting, soft, pleasant, remembering, tension, stuck.
Blending all four as you describe is generally recommended. You can experiment with doing "doubles" or "triplets" to hone your skill - i.e., noting the first 2 or 3 foundations repeatedly.
Mahasi noting comes from the Visuddhimagga, no?
So I've heard.
Does that conflict with sutta purists or no?
Oh, yes!
I can't really comment on anapanasatti, other than to say it's a different practice altogether combining the calming benefits of concentration with insight investigation.
Hope that helps. Happy noting!