Is it advisable to use EPDM for flooring around the pool?
Anyone who says that "EPDM does not do well around water" is ignorant of what the material is. It is used specifically as a water resistant membrane for roofing and many other applications, including around pool decks.

It is not the material itself that is an issue, it is how you intend to use it and how it is applied/installed. Your question doesn't specify exactly what you intend to do, but assuming that you will have a professionally applied EPDM coating, with the surface properly prepared and the material mixed and applied as required by the manufacturer.