Interesting distinction, but not simple. Does eternal life remain on this side of eternity?
FWIW, I rather doubt it. What is meant by your term, "this side of eternity," cornelis?
It seems to me eternal life is "with God" (or not with God as the case may be). And God is not to be found as an existent bound by our spatiotemporal order.
Hard question. I will venture a tentative opinion.
Perhaps both. Since men are created as temporal physical beings and their individual nature is not going to be erased, then their life after death will retain some time aspect.
But because if saved they will contemplate the eternal Glory of God and share in His eternal Bliss and also because the human nature was united with the divine through the Incarnation, they will have link to Eternity as well.
Either way, I would rely on the words of Saint Paul who said: "Eye hath not seen, nor ear heard, neither have entered into the heart of man, the things which God hath prepared for them that love him." (1Cor:2:9) and "For now we see through a glass, darkly; but then face to face: now I know in part; but then shall I know even as also I am known." (1Cor:13:12)