I've just travelled 2 US domestic segments on my RTW (ex-BKK). Both time I didn't have the *CLR* printed on my boarding pass.
Prior to this, I have travelled a lot on AA but with tickets issued on aa.com and never had any problems.
My mum was here again last month and also had a RTW ticket ex-BKK and got did NOT have the *CLR* 75% of the time.