No you should not, easy answer.
awakening potion is worth around 1600-2000 diamonds if you actually add up the costs of the total diamonds spends to get the awakening item. (This is taking into account a total of 4x3 runs per day aka 120 diamonds per day.)
EDIT: made wording a bit more clear.
120 diamonds per day is roughly 5.5 awakening fragments. (4 total resets)
80 divided by 5.5 equals 14.54 make it 15 (rounded up to the closest full numberl) This is the number of days it takes on average to collect the 80 fragments.
15 x 120 = 1800 diamonds (Not bad considering my 1600-2000 was a guess before I recalculated it
So the question you are asking yourself is 15 days of your time worth spending an extra 6.2k diamonds? The answer should be a big HELL NO!
The only reason why this would be a "decent" *cough cough* deal is if you don't have all the heroes awakened for HoL yet and you're impatient. However once you have awakened the heroes needed for HoL, time stops being an issue.