That's just a general rule though. If you hang from your shoulders but let your shoulders go, instead of pulling them back (which builds back muscles), I can imagine a slouched look developing. But if you pull back your shoulders it'll have the opposite effect, building muscle that improves your form.
I guess at the end of the day you have to focus on the sport you love, and do correcting exercises to keep your body in balance on the side. Most sports have lots of repetition on key moves and they lead to all kinds of issues, so I'd argue this is true for any sport.
Also, the core strength developed when climbing supports good posture by makes it much easier to sit or stand up straight for long periods. Not sure
I used to be decidedly concave when I was only climbing. Now I'm roughly planar, varying slightly over the year depending on the current proportions of climbing to surfing.
It's not a problem for most people. Most people get a lot of benefit for their posture from climbing.