I concur that it is "more optimal to practice satipatthana from the base of first jhana".
As for the "moment-to-moment concentration (or access)", I don't tend to think in those terms (I think you can guess why , without elaboration on my part
). I suspect
the need to establish the notion of access-concentration as some kind of sub/pseudo-jhana may arise from the later tendency to make the first jhana more esteemed and exalted than it was originally designated to be in the suttas. That perception may however be completely wrong, as I haven't re-familiarised myself with the commentaries lately, so feel free to reject that statement out of hand if you know it to be otherwise.
Either way, it will be of interest to me as well if anyone has any Pali texts specifically pertaining to satipatthana beyond the first jhana (either as defined in the sutta or commentaries).
"Do not force others, including children, by any means whatsoever, to adopt your views, whether by authority, threat, money, propaganda, or even education." - Ven. Thich Nhat Hanh
"The uprooting of identity is seen by the noble ones as pleasurable; but this contradicts what the whole world sees." (Snp 3.12)
"To argue with a person who has renounced the use of reason is like administering medicine to the dead" - Thomas Paine