I think that's something that will be specific to how YOU feel secure in different types of saddles. My saddle might make feel a certain way where as my other friends might feel really uncomfortable. I rode in my girlfriends saddle(we swapped horses), and I hated her saddle yet to her its the most comfortable saddle she's ever ridden in.
Unless you're riding in a dressage saddle with huge blocks, I dont know that any of the CC or jumping saddles out there would ever have enough to lock you in. Some saddle have more support than others. Some are more simple in style and provide less support. I think instead of focusing on a particular style of saddle, you should focus on what will fit your horse within your new budget and try them out to see what makes you feel secure.