No, I'm not saying there's a problem with luring at all - I use it myself for certain things. I've not listened to that podcast yet, so I can't comment on the content, but R+ 2.0 is about moving beyond the simplicity of it just being rewards-based, and moving into far more advanced ideas of training, so things like you mentioned: a lot more cooperation, start button behaviours, opting in, real "it's your choice" as opposed to the game of that name that everyone knows, which really doesn't give the dog a choice at all. But also, avoiding frustration, being as clear as possible, and setting yourselves up for success. Hannah Branigan talks a lot about loopy training in her podcasts - look up the ones with the Carpe Momentum ladies for some really interesting stuff.
So it's not that there's an issue using luring, or that it's not optimum, but there's no doubt in my mind that shaping gives far stronger behaviours - far more precise, and with far better understanding on the dog's part. Not only that, but it's really hard to get rid of the body language artefacts that come along with luring, and most of the time we don't even realise we're doing them. I'm not talking about fading a lure, I'm talking about all the other tiny visual cues we tend to add in without being aware of it - slight dipping of the shoulder, hand position, tilt of the head, flicks of the eyes, slight shifts of weight etc. There's a lot less of that introduced with shaping. But, it does require far more skill on the part of the trainer, too, to set up the scenarios to avoid frustration. That's why it really interests me, because it really makes me think. I still suck at it, don't get me wrong, but I love a challenge!
I think for your average pet dog owner, luring is just fine, and is far, far easier. But, right now, I'm concentrating on making very precise behaviours, breaking down each behaviour into its constituent parts and rebuilding, and that's where shaping really comes into its own. You just cannot get that level of precision with luring. It's too lumpy.