If you are looking to get the absolute best sound quality you can for your budget, wired headphones still have a considerable edge over wireless headphones when it comes to performance. Wired headphones are also more sustainable, of course, as they don't require batteries.
That said, wireless headphone performance is getting better every year and there are certain traditional features (such as active noise cancellation) that are increasingly only found in Bluetooth models, not to mention the fact that modern features such as spatial audio (for 3D immersive sound) and transparency mode (for amplifying external sound) are exclusive to wireless types. Their cable-free design is more convenient too.
Really, the choice comes down to your priorities. If it's sound, go wired; if it's convenience or next-gen headphones features, go wireless.