Yes, you can jump in an AP, I do :) You can literally use it for all purposes :)
The saddle will still give you great contact. Although the CC will give you MORE, it is not like you can't feel the horse in an all purpose.
I think the saddle at your tack shop is a great deal.
Most of the time the APs I see are cheaper than the CCs... that is another thing I like about them :)
Every great dream begins with a dreamer. Always remember, you have within you the strength, the patience, and the passion to reach for the stars to change the world. ~Harriet Tubman