What they have put together so far seems well thought-out and, in my opinion, has some advantages and better design decisions vs. e.g. Notion in some respects. In other ways they need to improve, for example lack of a tree navigation makes managing deep page linking more annoying than necessary. But in general, seeing their current pace of progress, I am frankly more confident in their ability to create a good tool than I am in Notion at this point (Notion's next big release, theoretically this year, may change my mind again...).
Anytype in alpha is faster than Notion on both desktop and web. A good part of this is probably just because it's all local. So search is near-instant. Page loading tends to be very fast, etc. It will take a while to get to feature parity with Notion, and until then a full comparison between the two is unreasonable, but there is strong potential.
One thing I also particularly like about the Anytype team vs. Notion is the relatively new forum they setup. Unlike Notion they have an actual feature request and "vote" board! So you can see what has already been requested, comment on and upvote it, etc. This is so much better than Notion's opaque process and long periods of development inactivity.
It's early days, but they have some funding and a team that is doing good work so far. I'm optimistic about the future.