I doubt we would even register as a blip. The universe is absolutely massive and there's celestial events that are unthinkably massive and complex. Black hole mergers, supernovae, galaxies merging. Hell, think of what chaos happens in the inside of our own sun, and multiply that by 100 billion stars in a galaxy, and multiply that by 100 billion galaxies. Humanity is ultimately inconsequential.
Surely it would depend on what the simulation actually was?
If you imagine simulations we can build ourselves, such as video games, it's not hard to add something at the edge of the map that users are prevented from reaching and have the code send "this thing is massive and powerful" data to the players. Who's to say that the simulation isn't actually focussed on earth, and everything including the sun is actually just a fiction designed to fool us?