I have actually never done the shrimp method, I use pure ammonia.
I have setup countless tanks over the last few years, I'd say at least 20, probably more lol and have always used the ammonia method because of its ease and in my opinion, quick cycling.
The ammonia goes to work asap while a shrimp will need a few days to start decomposing.For the shrimp ammonia levels to hit the same spot that the pure ammonia levels start out at already you are loosing I'd say at least a week. The longest cycling has taken me is 3 weeks and the quickest is 8 days. ( I used dr tims one and only for the 8 day cycle)
I have been using pure ammonia from dr tim's line of fish stuff, it is one drop per gallon and is a breeze to dose with. Cost me $2 on amazon lol
If you use reagular ace pure ammonia you have to mess with the dosing to get where you wanna be. I always ended up overdosing using it but thats not a bad thing anyways.