I don't think you can categorically attribute download speed to the SIM card. Speeds are affected by so many different factors.
OP, are you in a fringe area for LTE coverage? More importantly, have you been able to compare your signal strength with other iPhone 5s in your area?
I'm in a fringe AT&T LTE area and I consistently have bad coverage, maybe 2 bars of LTE signal if I'm lucky. The only way I was able to allay my worries was to drive to a local AT&T store and compare with other iPhone 5s, and talk to the reps about the local coverage. Instead of relying on chat maybe you should do the same.
OP, are you in a fringe area for LTE coverage? More importantly, have you been able to compare your signal strength with other iPhone 5s in your area?
I'm in a fringe AT&T LTE area and I consistently have bad coverage, maybe 2 bars of LTE signal if I'm lucky. The only way I was able to allay my worries was to drive to a local AT&T store and compare with other iPhone 5s, and talk to the reps about the local coverage. Instead of relying on chat maybe you should do the same.