You can 'jump the list' if you're on the flow list by getting hired OTS (of the street). But approx. 50% of AA's new hires are flows and the other 50% is roughly 80% (+/-) military. So you're competing for 20% of the total slots.
Flow guys have sat on their resumes. Most, or some, guys keep applying to 'jump the list'. I had a jumpseater who was waiting for his flow. I asked him "why? You've been a go-getter your entire career and now you're resting on your laurels waiting for the flow? Why? You're CKA ,and highly thought of, yet you've stopped pushing because you'll get a flow slot next year." About a year later I'm flying with a flow guy who jumped the list and mentioned the jump seater to him. He said "that sounds like my buddy. I was telling him the same thing. He finally got of his *ss and he got hired about 10 months early." A couple of questions later and we realize we're talking about the same guy.
I know three guys who've 'jumped the list'. A very limited sampling but all three of them stood out. Two CKA and one a long time union guy. Based on my limited experience I wouldn't plan on 'jumping the list'. It takes a long time for a young/inexperienced new hire to get to the point that he'll have the resume of the 3 guys I've met.
The industry values 500 or 1,000 hrs 121 TPIC. If an LCC is your final goal I'd leave ASAP if they hire you. If you're trying for one of the Big 4/6 I'd stay until I had 1,000 hrs 121 TPIC. Do people get hired without 1,000 hrs 121 TPIC? Of course. But do you think it's wise to forgo that because you're certain you're one of the guys that doesn't need it on your resume? IMO that's a bold move.