I remember discussing Scholar a lot at fan gathering, because personally it's one of my favourite jobs in the game but has had very few good seasons where it's been enjoyable to play. It's rarely been awful, it's just never been nearly as good as the other options.
1) Adlo is fine potency wise. The issue is the mana cost. WHM has better MP management, and Astrologian gets Aspected Benefic from Neutral Sect which theoretically is an MP saver. Both of those handle mana-less healing better than Scholar. So either we need the ability to cast Faerie abilities without one (akin to how they reworked Summoner's pets/trances in PvP), or the mana cost has to be lower. Adlo is too expensive to cast and Physick is intentionally weak. Lustrate and Excog remain the only ST instant heals avaliable to Scholar, but with no way of reducing their cooldown are extremely pricy to use and if your team doesn't not apply enough pressure through Biolysis, you will lose. The intention was clearly to allow Scholar to shield and then damage behind the shield where possible, but there's simply too much damage in the game to reliably take advantage of this design. The issue is if Scholar can do too much damage behind shields, then certain LP comps will be far too strong.
2) Seraph should just be removed at this point. Pets in PvP don't work. They barely work in PvE as it is sometimes. At fangathering I had a discussion with Clem about the state of Scholar and both of us agreed mechanically the issue with pets in PvP.
3) See 2. Remove Seraph, give us something else. Maybe Dissipatation resetting lustrate and excog at the cost of gauge.
4) Solace isn't comparable. Excog can save you or a range from a limit break because the heal tends to land before the follow-up damage, tick-wise. With Solace you do not have that same safety net guarantee. The larger issue is how quickly Lilies regenerate. Lilies have plagued the job's balance in PvP for a while now.
5) Focalisation is fine.
6) Scholar should get ED.
Also
Untrue lol.like you saw last season and the season before that of seeing nothing but AST