Well, that was me who was quoted above.
This was exactly two weeks ago, on Monday July 7, at SEA. We were traveling on a business class ticket, SEA-DFW-LHR, on American Airlines. We checked in at the counter, and immediately we got the impression the agent was having a bad day and seemed intent on making sure customers did, too. We don't fly American Airlines very often, but in this case the ticket worked out best for us. I had been reading online how many people experienced surly, gruff service from AA employees. The agent we encountered certainly fit those descriptions. Not a smile, not a greeting, no empathy whatsoever, she just seemed angry and unhappy. The contrast to a typical customer service person we encounter was dramatic and shocking. My wife shot me a look, I smiled and shook my head. Hey, I was about to fly to the UK in business class, and start a 12-day trip to Shetland, I was happy and wasn't going to have my day ruined by a surly employee. Agent asked if we had ETAs. I said yes, of course, we got them online a few days ago. She asked for proof. Me: Proof - really? Yes. I chuckled a little, smiled and said no worries...as I started fumbling with my phone, I said "I'm sure I have the email confirmation here somewhere, just a moment..." then I mentioned that I would have printed that out, but the UK ETA website clearly and explicitly said we did not need to provide any proof or do anything else, because the ETA was electronically attached to our passports..." Agent just said "I need to see proof or you can not board." I smiled and said there's no problem, scrolled through a bunch of emails, found it and showed her the screen. She took the phone from my hand (without asking if she could) squinted at the screen and fussed with the display. She turned to her screen, typed in something, handed me back my phone without saying anything else to me. Then she turned to my wife and said "and yours?" and took her offered phone too. Grumbled something, typed something, handed my wife's phone back to her. She then printed boarding passes and bag tags, tagged our bags, handed us boarding passes and said "Gate (something)...", turned and walked away. My wife was looking at me slackjawed, and was starting to laugh. I held my finger to my lips to shush her, smiled and said "lets go". We headed for security. Once out of earshot, she said "wow, what was THAT?" We both laughed and shook our heads.
Maybe we just got lucky. Maybe she was having an especially bad day. Maybe we were the only ones getting hassled for proof of ETAs. Don't know, don't care, not our problem - we were headed for a comfy flight and I was looking forward to it.
Just sharing my experience 2 weeks ago. Hope the OP has an easy experience.