I never really understood the use case for things like this. You can get the logs with docker-compose logs and you can see what's running with docker ps. So I'm not really sure why you'd need this.
Frankly lazydocker looks cool. I think I see the merit as a nice-to-have utility.
I love this developer's other tool, lazygit, which I use every day. And I can see this one is similar quality, even though it doesn't appeal to me personally. Glad it helps some people out though.