Running some math on the trinket changes in 4.2.2 which were client side updates but updates regardless. Although the math may look funny I did calculate Pillar buff dps separately and added it appropriately.
[Apparatus of Khaz'goroth]
383 strength X 20% Pillar(33%) X 3.2 strength stat weight = 1306.49
508 haste X 5 X 1.78 haste stat weight X 30/120 = 1130.3
Total normal trinket is worth = 2436.79 DPS
Will be less than that considering ramp up time. Not sure exactly how to calculate that as a frost dk considering i have auto white hit crits and generate them from Killing machine. If anyone knows how I'd love to hear it.
[Apparatus of Khaz'goroth]
433 strength X 20% Pillar(33%) X 3.2 strength stat weight = 1477.05
575 haste X 5 X 1.78 haste stat weight X 30/120 = 1279.375
Total heroic trinket is worth = 2756.425 DPS
[Vessel of Acceleration]
406 strength X 20% Pillar(33%) X 3.2 strength stat weight = 1384.95
82 crit X 5 X 1.28 crit stat weight = 524.8
Total normal trinket is worth = 1909.75 DPS
[Vessel of Acceleration]
458 strength X 20% Pillar X 3.2 strength stat weight = 1562.33
92 crit rating X 5 X 1.28 crit stat weight = 588.8
Total heroic trinket is worth = 2151.13 DPS
[Essence of the Eternal Flame]
1277 strength X 20% Pillar(full uptime) X 3.2 strength stat weight X 15/60 = 1225.92
153 haste reforged rating X 1.78 haste stat weight = 272.34
231 mastery X 1.57 mastery stat weight = 362.67
Total normal trinket is worth = 1860.93 DPS
[Essence of the Eternal Flame]
1441 strength X 20% Pillar(full up time) X 3.2 strength stat weight X 15/60 = 1383.36
173 haste reforged rating X 1.78 haste stat weight = 307.94
260 mastery rating X 1.57 mastery stat weight = 408.2
Total heroic trinket is worth = 2099.5 DPS
[Crushing Weight]
363 strength X 20% Pillar(33%) X 3.2 strength stat weight = 1238.27
2178 haste rating X 1.78 haste stat weight X 15/60 = 969.21
Total heroic trinket is worth = 2207.48
[Heart of Rage]
145 haste rating X 1.78 haste stat weight = 258.1
218 expertise rating X 1.87 expertise stat weight = 407.66
2178 strength rating X 3.2 strength stat weight X 20/100= 1393.92
Total heroic trinket is worth WITHOUT Pillar = 2059.68
Total heroic trinket is worth WITH Pillar = 2519.67
If my math is wrong, let me know but I'm pretty sure it's correct. Only fights I can see EotEF being well regarded on is primarily Alysrazor heroic to dps down adds faster and heroic ragnaros if you need extra seed damage.