No, that is just a coincidence. The AI does not take much note of another player's internal election (althought with update 5 if you loose your elections and change gov type this may have an effect on your relations to other regions).
I found it certainly a quirk of coincidence that the AI finally made some kind of diplomatic offer only when I was nearing an election and had what might be seen as low DAR. I was also surprised that it did the same offer three times, not just once. I just wish the AI's would make more diplomatic offers, it sure is tough having to carry the diplomatic ball all by ourselves.