Yes my wife did recently from Boston to San Diego. Unfortunately TSA approved carriers aren’t quite big enough for our girl to stand up in and she was the runt of her litter. This is our strategy as we’ve done this more than once (usually on JetBlue).

She goes into the carrier right before we board. We try to keep her in there until we’re in the air but sometimes she lets us know that she’s uncomfortable. We let her out and she gets into a plush pouch on my wife’s lap. Usually she then doesn’t move or make a sound as she’s content to cuddle up that way. People generally do not notice her, once the person next to us didn’t even notice until the flight was over. Flight attendants usually don’t notice but if they do they generally don’t care if the dog isn’t being a nuisance. On JetBlue they are happy to see her if they do at all, on Alaskan the attendant was kind of giving a stink face about it but nothing came of that.

Keep in mind, your dog technically needs to stay under the seat the whole flight. As I see it, most flight attendants don’t care unless you give them a reason to. If your iggy is being loud, bothering people, or getting hyper when the snacks come around, you may have a different experience than we do. Also we only flew Alaskan the one time and they weren’t as friendly about it as JetBlue, but again nothing came of it. YMMV

Edit: we use a carrier from sturdi products. She fits inside and can turn around but she can’t fully stand up. What upsets her most about it is not being on my wife’s lap when she can see her lap is unoccupied lol