Earlier quoted context omitted.
_You_ might not need to deal with the tricks of NAT, but more and more, your customers _do_. For example, I'm in the US, and my mobile device has an IPv4 IP sitting behind the mobile provider's CG-NAT. My mobile device also gets IPv6. Since you only provide your site over IPv4, that means my opinion of your site is governed in part by my ISP's CG-NAT, which you do not control. If the CG-NAT is overloaded, or otherwis…
I disagree, because as of now the vast majority of top sites are IPv4-only (see e.g. http://www.delong.com/ipv6_alexa500.html for semi-fresh stats) so if someone gets bad experience on my IPv4 site, they will not assume that the problem is with my site, as that will match their overall experience with most sites on the web. Perhaps you will diagnose the issue as caused both by the combination of your ISP flaws and my…
Regardless, Google's chart of IPv6 adoption (https://www.google.com/intl/en/ipv6/statistics.html#tab=ipv6...) continues to trend towards IPv6 adoption. I expect that if you looked at a chart of web site IPv6 adoption, it would also be trending upwards (though not at as steep a rate).
If that's true, then it stops being a chicken-and-egg problem, and turns in to a game of chicken: Who starts supporting IPv6 first, you or your competitors?