Lol no! The reason healers were not required to dps prior to savage was because there have been close to zero hard dps checks, so dps players slacking wasn't an issue as well as healers slacking at doing their job properly, aka dps'ing when there's nothing to heal.
Let me be very, very straight here: every fight/mechanic has a fixed amount of healing required, after that there's nothing to do. If you are able to mitigate/heal a certain mechanic in any sufficient manner, what are you going to do until there's something to heal again, twiddling thumbs? Stoneskinning people for no reason whatsoever? That's what people did in coil and it was bad, healers who think that way are bad and lazy. More healing doesn't make fights faster and easier, that's called overhealing and is not a good thing. More dps certainly does make fights faster and easier. A dps playing to 90% of his potential is doing 90% of his possible dps, and a healer playing to 90% of his full potential is doing 90% of his possible dps while still being 90% perfect and efficient with his healing. A healer that is 100% efficient with healing but doing zero dps is not even close to reaching 90% of his potential, because his efficient healing would make him twiddling thumbs even more where he could just switch on that sexy cleric stance and be good.
tl;dr, People just need to get out of that "healer dps" mindset. If your spell does damage to the enemy instead of healing your tank/party doesn't matter, this game is all about numbers and gcd efficiency. If there's nothing to heal, do a dps spell with that free gcd, it helps your raid when a healing spell would not. Just doing nothing because your job has a green icon and there's nothing to heal is shortsighted and lazy.
Btw I'm exluding tanks in my argument on purpose because there's no such thing as "tank dps", a tank is dps'ing automatically while tanking the mob and learning their optimal rotation will make them good at dps'ing automatically. If anything, learning how to switch off tank stance when there's no big damage incoming for a while will make their numbers go up, but the proper rotation will make them do good dps in the first place, which is something every player of every job should do anyway.