Hmm, I really can't see much difference between remembrance versus recollection. If I "remember" to watch out for mistakes while typing, don't I "recollect" a previously programmed determination? I'm not using "recollect" in the sense of thinking or rumination, although at grosser levels, these do intrude.
I think the suttas have a very broad range of meanings assigned to the word nimitta. The perceptual image seems, to me, to fit into the rupanimitta and obhasanimitta of MN 128 as specific meditation objects, despite Ven Soma's protests to the contrary that the Comy nimittas are innovations introduced by Ven Buddhaghosa..
On the other hand, nimitta as "signs" would simply be the perceptible or conceivable qualities of a thing. We get one of the best examples of this in the series of synonyms from DN 15 - ākāra liṅga nimitta uddesa, all of which carry the same sense of something that identifies the object. I think that would be a fair understanding of MN 44's characterisation of 4 satipaṭṭhānas as being the nimitta of samādhi.