Every Bitcoin fork that is created, essentially multiplies Bitcoin's total supply two or three times its size.
Not entirely accurate, since hard forks when not considered by the consensus to be Bitcoin, aren't Bitcoin. Forking Bitcoin, doesn't mean that its Bitcoin, the same as using the code Bitcoin has, to create a coin with a different name isn't Bitcoin. Its another altcoin. For example, I think you would be hard pressed to find a supporter of Bitcoin, consider Bitcoin Cash as Bitcoin.
What your really asking is will altcoins effect Bitcoin's price, and the answer is probably yes. Although, predicting how it will effect it or how it has effected it, would be difficult to measure. I would expect that the popularity of altcoins has increased exposure of Bitcoin though, and has impacted it more positively rather than negatively.
Although, it has to be said if there is a better alternative to Bitcoin, then of course it has the potential of devaluing Bitcoin. If there's a better alternative, that fixes the issues of Bitcoins, while not having any drawbacks that outweigh the positives, its quite likely that it would devalue Bitcoin. Depending on how many people would make the switch. I've said this a few times, but Bitcoin has quite a few issues which has been discussed to death, but it is currently the best out there, and eventually we might be referring to Bitcoin as the foundation that started it all, rather than the solution to the problem. There are definitely some interesting technologies, and ideas coming out of the woodwork, e.g MimbleWimble, but their current implementation isn't quite there yet.