The opposite is the case: Merchants almost always prefer not losing the purchase over a few bips saved on interchange and cardholders continue using their high-fee cards because issuers pay them kickbacks from that interchange in the form of rewards.
The exact same thing could happen with a dominant Lightning wallet provider (supporting channels only to their own nodes in exchange for a better user experience, incentives etc.) and merchants accepting Lightning.
Monopolization almost seems impossible to prevent at a technical level in networks due to the network effect (quadratic utility) and customers being relatively slow to change providers and easy to sway with one-time incentives. Credit cards have just had a few decades of a headstart over Lightning in that regard.
This is one of the main goals of crypto. By drastically lowering the barrier to entry, competition is higher and fees are lower. This is what filecoin is doing to AWS [1], what NFT tickets are doing to Ticketmaster [2], and what Lightning is doing to credit card companies.
[1]: https://file.app/
[2]: https://variety.com/2022/digital/news/web3-touring-ticketing...