Ok, so not a Hornet bullet. It ended up about 55 gr. Lead shot core with a 6S ogive finished with a lead tip die. The jacket as it was was tight in my core seat die so I ran it through a de-riming die for 22 cases first. So it is possible to use these jackets, just depends if the cheap price is worth the bit of extra work.
First picture is how I seated the core. I don't have a small enough punch to go inside the jacket so I used the point form punch which is a perfect fit in my core seat die. Lead is seated to just above the jacket.