DNA test information is automatically posted to profiles which connect to you in the correct ways and it doesn't look like you and John Nicholls are currently connected through a direct male line. Both his tree and yours are pretty limited, so building them back or out may create that connection. Wikitree doesn't store any actual DNA data or make any DNA comparisons, it only identifies people who would be expected to share DNA with you.
Here is how Wikitree posts Y-DNA test information:
- Y-Chromosome: If a male on WikiTree has taken a Y-chromosome DNA test we go all the way up the direct paternal line, father-to-father, to find the test-taker's earliest-known paternal grandfather. Then, starting with this earliest-known paternal grandfather, we go down all the direct male lines, not just the test-taker's own line. The system includes all sons and skips all daughters and profiles without a specified Sex at Birth.