Will a rising ETH price make smart contracts too expensive?

A friend and I were chatting about Ethereum and he asked if a very high ETH price would make smart contracts too expensive to deploy. Can anyone help answering or source any good info on this situation occurring? I honestly don’t know myself. The way my friend was putting it was, if the one thing we all want to happen happens - a very high ETH price - would that have a bad effect on the network.

EDIT: I should say that this question doesn’t just apply for Ethereum but any smart contract platform - is there a chance that a super high token price makes smart contracts too expensive?