I think it should. As far as I understood what I heard and read about it - I'm not doing Yoshinkan aikido, only met some people - hiriki is something which is included, or at least should be included always in any style of aikido.
I think it is just that different teachers focus on different terms and different methods of teaching to express and teach their certain understanding or interrests.

To be sure I looked it up again this morning in "Total Aikido" of Shioda Gozo. We don't to his two exercises shown there to be fundamental training methods. But I think, we always practice and train what they want to teach.
Or better what I think they want to teach: Transfering your (breath) power from the tanden (often referred to but not identical with "the hips") into and through your arms.

As a simple, practical advice we often say: "Don't lift your hand with your arm. Let uke have/hold your hand and lift your elbows with your hips (there is a connection). And have some energy just in your fingertips."
There is much more to say and learn about the tanden, the shoulders, especially the legs. All this is involved.

But as far as I understand hiriki is about the whole body being connected and transferring power through the elbows. We have our hands relaxed alway and we very seldom grab uke. So what I understand as elbow power is always part of our aikido.
And working with the sword it simply is what moves the sword. Not the hands, not the shoulders.