I don’t get why the original response is downvoted. Of course you can run those in docker containers, but it is generally suggested that you don’t.
From my experience i would run stateless services in containers and persistent storages in vms, dedicated servers, or cloud services.
People have been running database instances just fine on their own for decades, without the help of "big brother".
There are reasons why running a high performance database instance in containers is problematic, but security is not one of them - not any more so than application containers.
You just need to know what you are doing, it's not a black art.
Truth - I personally avoid doing so, but that’s only because I prefer not to introduce that extra layer of complexity into my stack due to lack of full understanding of the technology. There’s nothing stopping me from bothering to learn all the trade offs and pitfalls and doing so, but so far there hasn’t been enough of a compelling reason for me to go through that effort. I just go with the general advice “you usually don’t want to dockerize stateful applications” and leave it at that.
