There is another consideration to note here, and that is that not all imagineable boundless and eternal universes are the same.
Imagine a universe that is boundless and eternal, but where a particular force in that universe like gravity peaks at an epicenter in space and asymptotically approaches zero on every infinite line radiating away from that epicenter. I can imagine a rim around the core of that peak beyond which star formation becomes impossible. If the same universe had a similar peak in time rather than space, toward which the speed of light would eternally accelerate and away from which it would infinitely decelerate. Such a universe would be infinite and eternal, but might only be fit for life in a finite and temporary zone around the correlation of both peaks in spacetime. If somewhere in the infinite number of digits behind the decimal in Pi we eventually encounter an endless string of nines, we've reached the Borg and the end of all variety.