No.
Joing more relays helps make sure you overlap on at least one. I don't reccomend trying to join them all. Less than 20 will get the job done and often around 10 is good.
Discussion
I thought all connect to each other like mastodon or something. that sucks
after asking bard, it says #nostr relays contact with each other too
hmm, after reading https://nostr.com/relays you are right. It would be cool if relays contact with each other though