I'll try and be more precise, yes i chose to do the calculations for
[Ribbon of Sacrifice] instead of
[Essence of the Martyr], because ribon has less +heal. I am not a fan of /use trinkets that give +healing, but i had a look at the number of ticks of the BT trinket, and it turned out the buff was only up for 34% of the fight :/
A /use trinket such as ribbon would be up for 30seconds once every 2mins (althought it takes 7.5-10sec of those 30 to get 5stacks up), thats 25% of the fight. Plus you can also situationally use this if you know you need some extra burst, such as on Teron another MT healer gets the debuff.
So because of this I really should have calculated the /use as well.
I'll pick HL to spam during the ribon buff, and say that there are 3 other paladins on the MT doing the same, for sake of the math. This is worst case however, because if I need to spam HL for the full length of the buff, then it's more likely that I am using an mp5 trinket instead of this one. (But that depends if i have a spriest or not)
So 20s of 150heal for 4paladins + 10s of 30/60/90/120/150heal
Each palading will get off 1heal at +30, 1heal at +60, 1heal at +90, 1heal at +120, 10heals at +150
1 at +30: normal hit: 0.71*30=21.3, critical hit: 0.71*30*1.5=31.95, Average inc %crit = 24.9hp
1 at +60: normal hit: 0.71*60=42.6, critical hit: 0.71*60*1.5=63.90, Average inc %crit = 49.8hp
1 at +90: normal hit: 0.71*90=63.9, critical hit: 0.71*90*1.5=95.85, Average inc %crit = 74.8hp
1 at +120: normal hit: 0.71*120=85.2, critical hit: 0.71*120*1.5=127.8, Average inc %crit = 99.7hp
10 at +150: normal hit: 0.71*150*10=1065, critical hit: 0.71*150*1.5*10=1597.5, Average inc %crit = 1246.1hp
That's 1495.3hp * 4paladins = 5981.2hp per use of the trinket. Added to the 4715.8hp from passive that i worked out in the previous post.
A quick check of Essence of the Martyr to get the /use from that (I won't bore people with the math this time),
It gives: 2467.2hp per use with HL.
To cut a long story short, and because it's a little depressing, the BT trinket with the figures I've looked at is not that amazing, I would strongly recommend it if I could keep the buff up close to 100% of the time (15%proc chance, takes 6.67FoL casts to proc it, thats 10seconds, the buff lasts 12seconds), which in theory should be possible given that it can proc even while the buff is already active, unlike the VR trinket.
Anyway, I am going to go and get a wws parse of some encounters where I use FoL 100% of the time (and where I don't use mp5 trinkets), and check what % of the fight which the buff stays up.