I haven't played Origins, but it sounds much better than Dawn of Souls. Why? DoS is too easy, and they changed too much.
1. There's a retarded pool of magic instead of the amount of times you can fire a spell for each magic level.
2. You can save (permanently) ANYWHERE. So, you don't need a tent, cabin, or an inn. Just say "save" and you're good to cheat your heart out.
3. They add a crapload of new items, "Ether" and "Phoenix Down" being the worst of them all. So, if you run out of your huge pool of magic, just give yourself a few ethers and your MP's back up to full again. And, phoenix down revives one of your party members. An ITEM that you can buy from the beginning of the game at Corneria. So, basically, you don't really need a White Wizard at all.

I can't really think of the limitless amount of other stuff I didn't like about it off of the top of my head, but trust me, the GBA version is not FF1. Don't waste your money - just use an emulator+ROM like I did.