Selenium IDE does, although it is much easier to do in Playwright IMO. I think there is honestly no contest now between selenium and playwright for most needs; I wouldn't ever go back to Selenium. If you are starting a brand new project today in Selenium, I honestly think that is foolish given the better alternatives now out there. Selenium was a great project, but it is strangled by its own success - very hard to meaningfully redesign its API now so much of it is in legacy projects who will want to update their dependencies one day.

However, regardless of the tech used, recording playback of HTML manipulation is pretty brittle - if you think adopting playwright because it has a record feature will save any kind of time/effort/money, you are in for a surprise. This is a feature everyone tries once and goes "wow, neat!" and then quickly realizes none of the suggested code is production ready, or even likely to work on a 2nd run for anything other than the most basic of static sites.