A fork doesn't necessarily mean inflation - just look at the Bitcoin Cash and Bitcoin Gold forks. Their value is nowhere near the original Bitcoin. But Bitcoin Cash is an improvement over "medium of exchange", while Bitcoin Gold is an improvement over mining coins.

The fork is about improvement in the software. If a fork improves a coin, people could switch to the new coin, make it more popular, and challenge the original for price and popularity. Look at Ethereum Classic and Ethereum. If Litecoin Cash behaves like Bitcoin Cash, all the better for the community.