Double time vs higher ilvl

Does the proc from Double Time overcome any ilvl discrepancy or should I always take the higher ilvl weapon.

In trying to farm hero level Double Times this week I’ve gotten two other weapons instead that if I fully upgrade will be 483 vs my two 476 double times.

I think if the difference is just 6 ilevels or so, stick with the double times for the procs.
Also, I’m super jealous. I farm that place 2-3 times a day, for weeks now, haven’t seen a single one drop, for myself or anyone in my group!

I got the mythic track of double time on my DH and using the the handed claw from the raid so got both BIS from m+ and dungeon. Honestly is all RNG