Yeah this really isn't about the credit card. At 1 pt per dollar spent it's not going to move the needle that much unless you really spend a lot on your CC. EXP is 200k LP; how many people measure their annual credit card spend in hundreds of thousands of dollars?

The two cheapest ways to get LP are shopping portal purchases and partner flights (and maybe an honorable mention for AAhotels / RocketMiles), none of which require an AA CC.