The thing is that
any separation in the roles in ineffective. Things shift around some if you embed an ops guy into the dev team directly, but it doesn't resolve the core problem. This applies to DBAs as well as ops or any other software-side segmentation as well.
The core problem is that there are "ops guys" and "dev guys". That creates conflicting incentives, even within the same team. It creates tension and a dynamic centered around bandying work around so that it's "the other guy's problem" in some situations, and hoarding logic onto the one segment so that there isn't an "obstruction" in getting things done in others. Moving the "segmented" guys directly into your team just makes these politics closer to the heart, which is not always an improvement.
Teams should be comprised of whole-platform "generalists" (in quotes because they really should be good at stuff, whereas "generalist" implies they aren't; here I just mean a competent non-specialist), where any single individual would be comfortable/capable performing any particular task that may come up. Of course, each member will have preferences and habits, little "skews", but it is important that these skews are controlled and used for mutual education, and not allowed to "flandersize" someone from "the guy who knows SQL better than the rest of us" to "full-fledged DBA who hasn't committed any C# for 3 years".
The right axis for separation is hardware v. software. If it's software-related, your dudes should be equally yoked, such that any SQL ticket would be assigned to any member of the team, or any "devops"/sysadmin/deployment ticket assigned to any member of the team.
These systems, from the OS up, are all part of the same thing, and they're all tightly integrated. Making the workload of the individual people on the team also tightly integrated is the only way to make sure that incentives align properly and that the most effective technical decisions are made, instead of decisions motivated, consciously or not, by offloading blame or other political/effort/convenience considerations that cause the overall system to suffer.
If you get into a sticky situation that requires specialized help from someone who has lived and breathed MySQL Server night and day, well, that's what consultants are for. Consultants would also be useful for inspections/sign-offs. But your core team can't tolerate being segmented out by component/implementation detail.
> Containers are a smart solution to the build problem.
Linux "containers" are a variety of things. True OS "containers" don't exist on Linux, but there are some rudimentary approximations. A Docker image is essentially a zip file, and sure, zip file-ish things may work fine for uploading artifacts to systems. Dockerfiles are unequivocally terrible, however.