The bolded text is wrong. There is a whole issue of story dedicated to the mechanics and included an indisputable example. Do yourself a favor and check out WW#21 for the details. Perez and Berger laid a solid foundation for implementing the Marston idea of her being Invincible Yet Human. Later writers (excluding Messner-Loebs who had carte blanc to quietly reboot the character her gear and her verse--he kept the bracelets indestructible quality but removed their protective powers) would further refine the details (such as how durable is she when not wearing them).
We can continue chatting after you check it out. No productive conversation is possible while you are missing this part of the data set. You can probably find the full issue online. There is another issue whose letter column further discusses it and points to her statement in WW#18 after her fall stating what the bracelets do in terms of latent protective powers.
You are right that the Blessing of Olympus contributes to her durability. The connection to Gaea provides for her limitless strength and grants her the power of renewal (read: healing factor). However there are components that work to prevent the need to rely on those restorative powers or her Amazon healing arts and training. The protections of Amalthea are among them