No, because playwright can be detected pretty easily and blocked. It needs to be (and will be) using the same browser that you regularly browse with.

detecting playwright is not "easy"... It can be done but its cat and mouse. Playwright in non headless mode is nearly impossible to detect.

Its the other way around: it's easier to detect because detectors are looking for specific "fingerprints" and may even try to run specific JavaScript that will only work when there is a UI present.

(Source: did a ton of web scraping and ran into a few gnarly issues and sites and had to write a p/invoke based UI automation scraper for some properties)