How does the price of utility tokens affect access to utility and effect on price?

There are certain tokens that provides access to utility on the network. I hear there is one around internet access, i think the graph token is also an example of this.

To some extend ethereum is also like this. The more valuable ether token is, the more expensive it is to pay for gas.

What I wonder is how does the price of these token affects the access to the utility?

If the price goes up, won't that have a negative impact on the service provided by the network since it would now become expensive for people to get the token to access the service?

How would one think about this?