Thanks for the responses so far. Now it brings me to a couple questions and what may be a wrench into the recommendation....
I hadn't seen the Blue Ox Sway Pro Hitch so at the recommendation here I looked into them a bit.
Specifically on the Blue Ox, I see that they are doing sway control even though it is a chain style link. In searching it sounds like this was better achieved (or at least some users said so) that this effect was better with an older design than a newer design. I think this is from 2013 though so not sure when the design change happened or if there was another design change back to the old way. I will have to look into that more. I was leaning toward Equal-i-zer because I liked the idea of not having to unhook sway control when parking and such.
I watched a video on youtube which covered the installation on the Blue Ox and it mentioned something I didn't consider. They mentioned that they have different versions for the Blue Ox. One for Standard Trailer Couplers and the other for Underslung Couplers. I am not an expert at trailer couplers but when this was mentioned I remembered that the coupler looked different than what I have seen before on the new trailer but didn't think much of it. The new Jayco uses an Underslung Coupler where our old camper is a Standard Trailer Coupler.
Because of this will it make it more difficult, or impossible to use our old hitch on the new camper? While I agree with others here I would rather be the one setting up a hitch, I would rather they do it with a new one to get me home if my only alternative is them drilling a bunch of holes in the A frame to install my old hitch which I may not ultimately end up using. This is why I posted the question here. I didn't want them or me to drill holes in the A Frame to install a friction based Sway Control if I am better off in the long run going with a different design which may not require holes or different holes in different locations.