If any healer could do with 'increase the job's maximum combined DPS+HPS under optimized conditions', let's be real, it's WHM. Back when Misery became DPS neutral, I had a shortlist of things I hoped for with WHM. Misery being 'less DPS taxing' (my method was by making it an OGCD, thereby changing it to be only 30p loss, easily made up for by raidbuffs), Assize 2 charges (so you could hold one for healing purposes with small DPS loss, due to not being in raidbuff), Tetra 2 charges (at 700p, AST's Essential averages to 700 and has 40s CD, come on SE), and most importantly for the point here, Lilybell reduced either to a 120s CD, or to 90s CD, with 3 stacks. At the time Macrocosmos was all the rage in the memes because of P3S, and my thinking was that we can make Lilybell competitive with Macro not on power (there's no matching it), but 'availability'. If it's up twice as often as Macro, it's more versatile as a tool, whereas Macro does one thing, but very very well.

Lilybell Duration is nice and all, but I only get to use 3 of them during P8S whether they last 15 or 20s. If it were a 90s CD though, it'd have been INSANE for this tier, with all the raidwide-bleeds, it'd be up for so many more of them. It'd be 1200p total healing, with Asylum totalling 900p. OFC, this doesn't address the issue that we have too much healing power and not enough to use it on, hence the idea that we give WHM Afflatus: Sanctuary or whatever (and AST some shields too), so we can change from 'Lily heal that will, when combined with the cohealer's response tool, almost certainly overheal' to 'Lily Shield which will definitely be 100% value (could make it so 'if shield remains when duration expires, heal for that amount' for true 100% value), won't be overwritten in content where having it matters (because people at that level of content know not to overwrite each other's shields), and due to being DPS neutral via lily system, is an indirect RDPS gain for the team, since the SCH no longer has to cast Succor there'. Only issue is, that gained GCD for the SCH will be attributed to the SCH on the funny website, not the WHM, so people will complain still.

'Lily shield + HPS pump OGCD' synergizes better within your own kit than 'Lily HPS pump + HPS pump OGCD', I think. Way too easy to end up overhealing if your tools to work with are big pumpy healing ones like PI, Rapture, Asylum, Lilybell, Medica 2 (god forbid)