Yes, I practice in the Chudokai now. Affiliated with Yoshinkan Aikido. And, most definitely yes, the foundation I received in the Jiyushinkai helped and made it easier to learn the new techniques. And while the two styles are significantly different in their approach, the underlying principles are the same.
For example: Kuzushi, Tsukuri, and Kake equate to Keep One Point, Relax Completely, Extend Ki, and Keep Weight Underside. The wording is different but when taught, they are the same principles.