I find their git integration limited as well. When using git I always find myself using IDE's integrated terminal, or OS's terminal. But, I've reported bugs on their tracker - it took a while, but they fixed it.
Although I admit that I rarely see serious bugs now. They were more frequent 10 years ago. Still, bugs with docker/docker compose integration remain and they are highly annoying to me since I almost exclusively develop in docker now. And it seems that docker integration has much less priority for evolution and bug fixing than other areas of JetBrains IDEs. In almost all new releases there's no bug fixes and improvements related to docker integration (and I try to browse their release announcements often).
As of git integration, for me there's almost everything I need. I even started to do rebase more often in the IDE rather than in command line.