i was kinda wondering what you meant with the shadows AA until i realized youd be refering to the int line of the kos tree, but yea forgot that.
so in the end it all comes down to raid setup. both bard in group and monk in raid are being far from being guaranteed. but in the overly stacked setup you described, youd prolly not need any more spellhaste... EXCEPT for the cases, where you dont need the benefits of the healing stance and switch to meleestance. thats another uhm... 20? spellhaste to compensate, so in your stacked setup, you would equip cloak and robe and turn on meleestance and still be not retardedly slow casting. i dunno... being in that a stacked group is far from being common to me.
also: when youve got some serious shit going on and youre in MT or OT-group, you would probably want to run shieldally, which means no INT line (STR/AGI/STAM), which is another 16 sh to compensate. plus: in those setups, CH would definitly go to the shaman, so youd have to scrap that too. well obviously when using shieldally youd be sporting the corporeal darklight board but uhm yea... those (not that uncommon) situations would look like this (taken from your list)
15% mythical
15% heal stance
- (20% TC)
10% TSO set
5% ethernaut talisman
=======
45%
8% bard?
10% monk?
=====
63% within a perfect raid
bottom-line: inqs arent always put into dps/spell-groups, so i guess itd be fair to not focus the gear-list on that one sole position

you even put the sh cloak below the lame ass dps shard cloak :/
again: those overly stacked groups arent guaranteed, so i'd add another star to the 5sh cloak and put on position 2 (or 3? well nah, just thought about that: in the end the byzola cloak is just another hot you can stack on whichever tank gets beat but its still a hot and thus the least desirable of all healing-forms. pretty much the same applies to healing blanket... that shit is even retardedly slow ticking and its weak, youd be wearing the TNT cloak for the 4 healcrit alone)
and about trak cloak... i guess if that thing DOES work with clicking inquisition afterwards (dunno), it COULD be pretty handy... if cloaks were still changeable midfight, which is not the case nymore sadly :/