Is Playwright suitable for testing Salesforce Lightning Web Components?

Seb Faull posed a question about using Playwright in a specific context during our AMA with @utchbe :

“Would you recommend using Playwright for testing Salesforce pages that utilize Lightning Web Components?”

This query delves into the compatibility and effectiveness of Playwright for testing complex applications built with modern web technologies, any insight on this would be helpful for Seb and other members of the community looking to get going with Playwright.