If that were true the time period would be shorter at higher joules instead of longer.
Err, look. I don't have much experience with TC-enabled devices, but I do know my physics. Watts are a
rate of energy transfer, and joules are a
quantity of energy that is transferred. One watt is equal to one joule-per-second. That is the very
definition of a watt. Without being able to predict how long you're going to hold the button down, which would require foreknowledge of a future event -- a physical impossibility -- how is the mod supposed to adjust its rate in order to deliver a certain quantity of energy over the course of your hit? The
only thing it can do with certainty is deliver energy at a particular rate (watts). The
quantity (joules) of energy delivered depends entirely on how long that rate is sustained, i.e. how long you hold that button down. I don't know what you
think the "joules" setting affects, but I'm certain that you have a misunderstanding, somewhere.
...and yes, the ramp-up time should be shorter at higher joule settings. If you're findings indicate that it takes
longer, then there's something wrong with your testing procedure (or, I suppose, it could also be a problem with the device itself). Are you starting with a cold (room-temperature) coil each time?