I've done it both ways - with the WC and without. In my experience, doing the water change to remove the nitrites actually speeds up the process, because the AOBs are going to produce the nitrite quickly after the water change, and so the NOBs will have something to work with, BUT they won't have to go through the EXCESS nitrite that has built up while they are trying to get their colony underway.
I did no water change with my original fishless cycle, and I've done a water change with a "seeded" fishless cycle on a large tank. In the large tank, the AOBs were plowing through 3ppm ammonia rapidly, but the NOBs just weren't able to keep up and quickly I found myself off the chart. I also had nitrates starting to climb (showing that the NOBs were working, just not at a high enough pace to keep up with the AOBs). I did a full water change to zero out the nitrites and nitrates and give the NOBs a fighting chance of catching up to the production of the AOBs. This worked perfectly for me, and two days later the tank was completely cycling through 3ppm ammonia daily with 0ppm ammonia and nitrite after 24 hours... Then the issue came of when it would reach zero in 12 hours. I never did find out when it reached zero after only 12 hours. This tank is at work, and I wasn't going to go out of my way to test it after 12 hours. No problems.
I did no water change with my original fishless cycle, and I've done a water change with a "seeded" fishless cycle on a large tank. In the large tank, the AOBs were plowing through 3ppm ammonia rapidly, but the NOBs just weren't able to keep up and quickly I found myself off the chart. I also had nitrates starting to climb (showing that the NOBs were working, just not at a high enough pace to keep up with the AOBs). I did a full water change to zero out the nitrites and nitrates and give the NOBs a fighting chance of catching up to the production of the AOBs. This worked perfectly for me, and two days later the tank was completely cycling through 3ppm ammonia daily with 0ppm ammonia and nitrite after 24 hours... Then the issue came of when it would reach zero in 12 hours. I never did find out when it reached zero after only 12 hours. This tank is at work, and I wasn't going to go out of my way to test it after 12 hours. No problems.