The process is slower than it was in Cata by simple fact: The both systems are equal on paper, in reality the DS is faaar superior for someone with one or more friends and the MoP one is good for the players who play single.
In MoP you remove human factor from the roll, its just you and the RNG.
In Cata you had option to personally increase your chance of getting loot by many means. Communication with the other rollers on your item, inviting friends to roll for you or just occupy space so you get less people that will roll. Making Guild LFR Run so you get maximum ger for raid progress (now only usable for time reasons...)
For anyone with couple of friends the new system kill every oportunity to group run LFR and only good thing in new system is isolating ninja looters.
I think I could bear loosing some items to ninjas for getting my personal options to tip the scales of chance in my way again.
I geared many alts in matter about 3weeks to Full LFR gear and in MoP i won 3 items so far and only 1 beeing upgrade. Guess which system i like more