Weasels is apparently taking on the lead cheerleader void left by WT's forced departure.
The fact is that all of the Big Four succeed because of their market position. Parker didn't build that --- 20 and 30 years of previous activity did. HP's contribution to that compared to AA and even US? PHX, which is probably the least profitable of AA's hubs due to the 40-50% overlap AA shares with WN.
The biggest levers on profitability (i.e. variables) are the economy, oil prices, and natural events (e.g. hurricanes, winter storms, volcanos). The only true controllable factors are capital spending and labor costs. That's why you've seen the reaction from some on the issue of the raises. AA spent a lot of employee goodwill when they cut pensions and labor costs, and yes, it showed in their financials. WN, DL and even UA have been much smarter about this by sharing the company's good fortunes as they occur, vs. increasing overall costs for the foreseeable future.
The biggest place the CEO makes a difference is on setting the tone for how the company works with each other internally, and the product offering to its customers. I don't know anyone who will say that labor relations are all that much better today than they were before the merger. Maybe some of the pilots think so because USAPA is gone, but that wasn't something the CEO influenced.
Customers? Many of the people I know who were top tier on AA have fled, and the recent stories about cutting the size of the F cabin and going to 30" seats doesn't help matters.
Praise Parker if you wish, but being able to Google a few headlines isn't what analysts do. You look at all the data, and right now, AA is proposing to add to its permanent costs in a pretty big way. And it won't surprise me to see another bankruptcy filing within 5-10 years because they went for the labor equivalent of gastric bypass surgery in 2012 and then started eating everything in sight again...