On the gentle side, I see it as irrelevant speculation not connected in any meaningful way to the Noble Eightfold Path.
More bluntly, I think making Buddhist associations with this kind of thing is potentially dangerous and leads to superstitious folly like the Tibetan tulku system (which by all accounts seems riddled with problems), eternalist views, and people being far more zealous about pushing reincarnation beliefs rather than adopting the more open-handed approached used by the Buddha (e.g. MN 60) and by those Theravada monks who readily say "don't know" when they don't in fact know.
"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