No. Simulator time is just that - Simulator Time. The level of the sim does not matter. You can log sim time as Simulator Time and Dual Received. It is not "flight time". Take a look at the column in your log book everyone refers to as "total time". If you have the standard logbook, it doesn't say "total time", it says "total duration of flight". From a current FAA perspective "total time" does not exist. It is not defined in Part 1.1 or Part 61. The closest definition to "total time" in the CFR's is "pilot time" - 61.1(b)(12) - which can include flight time, simulator time, and flight training device time. Most logbooks do not have a pre-printed column for this, but you could write "pilot time" on a blank column if you desired.

Under specific conditions the FAR's allow you to credit (not log as "total duration of flight") simulator time toward specific certificates, such as the ATP. For example, 61.159(a)(3)(i) allows credit for 25 hours (61.159(a)(3)(ii) allows for 50 hours if the training is under part 142) of simulator time to be credited to the requirement of 75 hours of instrument flight time.