Does downloading the same torrent from more than one server increase the sources / seeds?

edit:
What I meant with servers is those like mininova, isohunt and the like.

Now I know those aren't the trackers, what I want to know is if when more than one of those indexing sites are linked for the same torrent, if they likely contain different lists of trackers, so getting the torrent from both sites will increase the trackers, hence the seeds, or if it's just in case one of the sites goes down.

I guess I can test this getting one torrent from one site with a torrent client and the same torrent, from another site with another client and comparing the list of trackers and the amount of seeders and leechers.