I don't think we'll see the 32nd Century Enterprise in Discovery yet because that would strip (speculation only) the Enterprise-F of having "the latest and greatest!" status if (again speculation only) we see it in Picard.
After they've gotten the Enterprise-F out of their system over there, then all bets are off over here.
But finding an Enterprise would be effectively meaningless to the Voyager crew, beyond the fun fact that they just left one in the 23rd century. The history that made Enterprise an icon of the Federation is decades ahead of them.
I posted a "theory" (more just random speculation) about why there was no Enterprise seen in the 32nd Century SFHQ, but there was a Voyager. Basically, I reasoned that the Enterprise, as the "super starship" it was known to be in the 23rd/24th centuries, lost its public appeal. Meanwhile, the Voyager's Delta Quadrant foray took over as the stuff of legends, and it became the new default flagship line, whose successors saw many thrilling missions.