Tiled windows don't look tiled
When you tile a window, say to the right with Tiling Assitant, it retains the round edges and still looks as a non-tiled application.
Here's some pictures for reference
Tiled window using GNOME native tiling

A closer look at the bottom right edge

Tiled window using Tiling Assistant

A closer look at the bottom right edge

Possible solution
Now I think this can be solved by adding the relevant tiling styles to a tiled window. For example, the above extension gets the tiled-top, tiled-left and "tiled-bottom` classes.

Here are the relevant styles in libadwaita,
It would be nice if Tiling Assistant could add these styles too.
This is something that can't be handled at extension level without upstream support.
A change like #239 can help in the two-tiles cases, but it won't in other cases. To support this in Ubuntu we introduced two patches:
- Mutter: https://salsa.debian.org/gnome-team/mutter/-/blob/ubuntu/master/debian/patches/ubuntu/window-Add-ability-to-override-the-edge-constraints.patch
- This extension: https://salsa.debian.org/gnome-team/shell-extensions/gnome-shell-extension-tiling-assistant/-/blob/ubuntu/main/debian/patches/ubuntu/tilingWindowManager-Override-window-constraints-style.patch
They're both pretty small and the mutter one can probably be reworked to be merged upstream, but it's something we have to discuss still.
And they look as expected indeed:

Just wanted to come here and +1 to this since I was just about to create the same issue :)
making the corners squared would solve #222