To a point UV is, but it's mostly UV-A (320-400NM) that corals utilize. UV-C (200-280NM) is the primary contributor to the creation both upper atmospheric and ground level ozone. UV-B (280-320nm) is the primary cause for sunburn and damage to tissues. Typically high altitude ozone blocks both UV-C most of B preventing it from reaching the earth's surface at all. Due to a steady decline in the field strength of the magnetosphere over the past 100 years (since the Carrington event) there has been a steady increase of deeper penetration of all types of UV wavelengths to ground level. This is causing increased exposure to wavelengths that most organisms are not well adapted to it and long term exposure can cause severe burns to soft tissues. Remember not just 20-30 years ago you could spend all way at the beach with SPF8 sun block applied once and you were fine. Now you need SPF 30+ and have to reapply it multiple times to prevent from getting burned. Corals cant put on SPF50 sunblock..
To add to this is increased heating to surface water from infrared radiation. The heating effect is not as significant as that of UV exposure but it does add to the situation. Add all this together and it creates a much more hostile environment that sensitive or shallow corals are in, and that added stress can and will cause excessive bleaching.