In chinese agama did buddha enter and remain in cessation of perception and feeling during paribbana?

Recently, I attempted to start a thread which was intended to encompass questions like this. In that context, I find your comments interesting and would be interested to hear why you (or anyone else, because I do feel it is the default narrative) might feel the evidence suggestive of these particular conclusions rather than the other other way around (i.e., that, perhaps, the cessation of perception and feeling may have been considered more important for awakening than the fourth jhāna, or that the fourth jhāna rather than cessation might be some kind of later addition).