The "current" version is a cloud-encumbered MS365 product with Copilot+ integration, so probably not.
That being said, apparently the 2016 version is gold-rated on WineHQ: https://appdb.winehq.org/objectManager.php?sClass=applicatio...
I find Office 2016 feels rather similar to current Office 365 as well. For home office stuff I'd never notice the difference.
Our company just deployed Office 2024, which is not cloud-based. There are plenty of companies that can't/won't use the cloud version.
That gold rating was last tested with wine 5.0 in 2020. I have tried many times to install Office 2016 after that, and failed because Microsoft keeps changing their login/activation front-end. The last time the issue was with some Edge-dependency. For a while it was possible to get it working with Crossover, and then it broke again. Currently I'm using WinApps for the infrequent project that requires MS Office.
That said, I haven't tried Office on wine in the last 2 years, and there have a lot of development in that time...