There are questions about what is the universe doing at the same 'universal time' after the Big Bang that might be interesting. For example, we see two colliding galaxies at a distance of 1 billion light years. What they looked like 1 billion years ago. What has happened to them since? Did they merge, or just shred each other to pieces? For nearby stars, it might be nice to know if Betelgeuse located 1500 light years away has gone supernova yet.
The thing you have to understand is that it is not necessary to know what the universe looks like exactly today. Only the way it appears to us, with all the complex distance time delays added, has any physical effect upon us either by gravitational influences or electromagnetic influence. We are currently affected by where a distant galaxy appears millions or billions of years ago, not where it is today. Even the effect upon us by the Sun is the effect of where it was and what it was doing 8.3 minutes ago, not its condition right NOW.