I've never seen anything wrong with more communication between stakeholders and adapting a solution to meet their ever-changing needs.

There is an effect where people who are invited to second-guess themselves become less happy with their initial decisions. There is another effect where cost or price or effort or social-standing is associated to quality.

If you give the impression of falling over yourself to serve the whims of your stakeholders, you're doomed. If you set reasonable limits... well that requires experience to do properly, and that same experience could be used to twist a more traditional methodology into something useful.

Perhaps agile has a stronger sink-or-swim learning curve? You either learn quickly and succeed very well, or you never figure out what went wrong.