This was a surprise to me as well. For anyone else reading this it means that Quad9, not your system, is relaying DNS traffic to WoodyNet.
In this case, you're seeing WoodyNet IPs and IN-ADDRs because WoodyNet is giving transit to the Quad9 anycast instance you're talking to.
I'm happy to answer any questions you may have about how all this works.
I'd also note that round-robining between two different organizations with radically different privacy practices and security services... um... might not make the most sense? Depending what your goal is, of course. Again, happy to talk about any of this, just let me know if I (or any of the Quad9 or PCH folks) can be of help.
-Bill