It seems very simple what he does and he plays with controller. Have you thought of creating all those macros (i.e. Bio + Embrace)?
I setup my controller interface to have repetitive commands I use in same spots on multiple hotbars to minimize the need for toggling between them. The only time I toggle between hotbars as SCH/WHM is if I'm going DPS. That's my secret to how I how I play somewhat okay, IMO. If I want to have more than 1 pet ability on my hotbar, I will require a 3rd hotbar, or completely re-organizing me two hotbars to remove these repetitive skills I frequently use. IMO, changing that will cripple my playing ability and require a lengthy learning curve to "unlearn what I've learned".
So much of my healing skill, IMO, is based on muscle memory and memorization so I never need to think about what I'm pressing or look at that area of the UI. That's just how I prefer it, and changing that up at this point is a big undertaking. Given that nothing so far has impeded my or a group's progress that was strictly due to my inability to heal well enough, I do not believe this change is warranted at this point. Come 3.0 when we all get more skills, I might need to re-evaluate my hotbar setup, but that's months away.
However, I have a whole other issue with the sic/obey debate -- I don't totally believe that Eos/Selene on obey is inherently better. Eos does other actions independent of me when I set it to sic, yes, but I also do not need to worry about it being idle and doing nothing when I don't issue it a command. Yes, I lose the precision of having it cast a certain ability at maybe a few key moments, but on the flip side, it is constantly healing/buffing people and letting me focus on other things. While it might not be always casting the most effective thing, it's frequently doing something to aid the party and allowing me to focus more.
I also don't believe the benefit of getting a certain ability cast at 1-3 moments max, which can obviously and apparently easily be overcome with SCH's own tools (Succor, Adlo, Sacred Soil), to be worth the extra thought process during the battle. The most I need to think about with Eos/Selene ever is placement or swapping them out during a fight at certain points. And as I said earlier, if we ever get to something that simply can't be overcome by better gear or my play style, but could have with the extra manual control of my pet, I will reconsider this argument.