As others have said, preheating will not get rid of the limit line entirely; however it will significantly reduce the power limit, and decrease the time required to fully warm the pack. It will significantly reduce the pack heater power usage, which is a very good thing if you plan to drive a long distance.
This is the common believe, and in fact what the Ownership hotline says, however, this apparently is not true. I have had very specific conversations with my local SC Manager on this matter given that I saw no demonstrable benefit to 'pre-heating' the car as it pertained to the battery and regen. Below is a direct quote from my local SC manager pertaining to this issue:
"Yes, pre-warming is still advisable as it prevents the large loss of range and the additional heat may provide a little, barely noticeable effect on the regen, so the cold weather routine is still best, but the regen benefit is not accurate as it s [sic] more about the battery retaining proper operating temperature thus increased range. I will read through the forums though as it sounds like there is a lot of pertinent information out there!"
This was in response to my suggesting that the pre-warm routine as it pertains to the battery is really useless. The pre-warm does cut down on battery usage, but only to the effect of reducing the initial energy required to bring the cabin up to temp - but has no impact on the battery warming up. Earlier in the email conversation, he explained why using the iPhone app to pre-warm the cabin has no impact on the battery and regen:
"For the Tesla, because the coolant actually travels through the drive motor and so forth, operating the car gets all the components up to temp. I will make sure I am standing alone correct on this, but every experienced manager (also with technician backgrounds) I have talked to in the last hour or so has confirmed what I am saying. I am waiting for something in writing from Cali as we “speak”!"
What he is referring to is that for the battery to come up to proper temp, the car has to be operated, specifically when referring to my question of "So that means, there is effectively NO WAY to ensure the battery is properly 'warmed up' such that in cold temperatures, the car will be able to be driven immediately without regen limitation", his response was:
"Not exactly, the battery warms up effectively, but regen limitation is completely normal to a varying period of time regardless depending on the ambient conditions. My best traditional internal combustion comparison to this is that I warm up my truck when it is freezing out for about 20 minutes, it certainly helps and the truck is warm, but there is still a brief period of time where things aren’t quite as warm as they are after driving it for a minute….Not sure if the last part helps, but delayed regen is normal despite the pre-warm scenarios."
So in a nutshell, while it is advisable to pre-heat the cabin to reduce if not eliminate the initial power consumption required to bring the cabin up to temp, it has very little, if any impact on the battery.