My thoughts are that they all fall under the banner of satipatthana, so one approach is neither right nor wrong.
That said, we had an interesting discussion about the sequencing of satipatthana steps and whether there was any logical or sequential aspect to the way they're sequenced in the Satipatthana Sutta but I can't see to find it at the moment.
"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