I love a good convex edge for a lot of tasks.
I find them easy to maintain, and keep sharp.
I've had my share of convex edges that were too thick.
Making an edge convex does not make it stronger or weaker.
They can be obtuse or acute.
You can get them sharp enough to whittle free hainging hair.
This can also be done with v edges.
I do both. I find that on some of my knives, I just keep a regular edge, sharpened on stones and maintained on ceramic sticks.
I find this method to be a bit quicker than pulling out my sandpaper sharpening supplies (a few licks on a diamond atone followed by a few per side on a ceramic is faster and quicker).
But to simply maintain a convex it is a few strokes on a strop per side.
It is when I need to restore an edge a bit after more use, and I need to get the sandpaper kit out, it is a bit more work, and mess. This is so because I use sheets of automotive sandpaper on a firm rubber strike pad (from Tandy Leather).
Lately though, on some of my convex edges I have just been maintaining them on the same diamond stone and ceramic, followed by a few strokes per side on the strop. By doing a few strokes every time at a shallower angles, you can keep them convex this way too without too much trouble.