Let's say, I invested in the original Bitcoin. Then somebody who has the marketing resources to build enough interest in a new coin comes along and decides to fork. Because of the hype around the new coin type, enough people are willing to trade it after the fork.
I'm being given the same number of coins of the forked kind and the value of my original coins drops by the difference in value compared to the new coins (or around that).
If I'd rather only invest in the original Bitcoin, I'd have to sell the forked coins immediately and buy the original Bitcoin back just to keep my investment value the same.
If anybody can come along and fork:
That sounds like in the world of stocks, a competitor could come along and decide to split the stocks of MY company from the outside, driving down the price of my stocks (me as the company's owner or investor) and there's nothing I can do about it.