If you look at the content feed of /c/conservative most of the recent posts seem to be fairly anti-conservative, or at least not very flattering. For example "Almost Twice as Many Republicans Died From COVID Before the Midterms Than Democrats" was just recently posted.
In other words they may be modding both subreddits because they're not actually conservative.
Having people that strongly agree OR disagree with the political beliefs of a communty be the mods of this community is suboptimal at best. If you align the beliefs of the mods with the communities, you get a "positive" feedback loop, making the place more radical as time passes. The opposite will happen if you oppose the beliefs of the mods and the communities. Good mods of political communities will not express their political beliefs. Modding politics is not about liking or disliking opinions and beliefs but more about enforcing agreed upon and sensible rules that don't have to be related to the political topics at times.
To make the example easier to understand, I will use a radical example.
If you let Neo-Nazis that actively take part in the community be mods of a political community, you will ineviteably see a positive trend towards national socialism. Posts that don't align with their beliefs at all get removed, this will increase over time and wheir boundaries will also get stronger with time.
It doesn't even really matter if the community was auth or lib or left or right to begin with.