Understood - my point was there is a difference between “looking” at the night sky and using a tool that can see much better than us to see further into the “empty” spots - those distances you mention belie the argument that “in an infinite universe one wouldn’t see any empty spots...” (or something like that).
Yes, but even with that Hubble Deep Field image, and others of the sort taken of different regions of the sky, there remain dark patches where there are no galaxies. Then again, more galaxies likely exist beyond the so-called ‘observable universe’. Beyond the OU galaxies and all else arspeed,eding faster than light speed via the big bang expansion.