The remote start system would allow your car to do the same thing as it would were you not there, but you don't have to go outside to make it happen. If it's going to stall, or not stall, that morning, it won't be effected by if the starter/fuel/ignition systems are actuated by you turning the key or by a box with pretty wires connected to them.
Yes, odd things can happen with remote starts, for instance if it does stall, and the remote system isn't set up or operating properly it could allow those systems to remain energized rather than shutting them down after it sees the loss of RPM signal that would happen with a stall, which could lead to a dead battery. But in general if the system is operating as designed and intended it shouldn't change anything regarding a stall on cold start.
Except...
As I was thinking about this I was going to comment on how there is additional programming and procedures that need to be followed on the manual trans vehicles. That system allows the starter to energize with the clutch pedal NOT depressed since there is not a person sitting in the car to push on the pedal, the clutch switch needs to be temporarily over-ridden. (It will not operate the starter if the car is in gear) If you go out to start your car, you'll have the pedal depressed, which would allow the transmission, and it's "thick ass gear oil" (all credits due to meicalnissyen) to be disconnected from the engine while cranking. However, with the remote start system, it would still be connected through the clutch, which could cause slower cranking speeds, even more so at very low temps. My gut feeling is that with proper oil for the conditions and a battery in good condition that can provide the required amperage at that temp the ECU would adjust timing, fuel and throttle as it saw needed to get the car started and stay running. Which brings us back to the individual vehicle and if it has some other concern that is causing the stall on a cold start. 10 MS3's or 10 Chevy Pickups or 10 Lincoln Town Cars all parked next to each other on a 32 below morning, don't be surprised if they don't all start and act the same on a cold start.
Thanks for giving me the chance to think this through thoroughly. Surprised myself. Good timing too, I was asking someone tonight about getting a ride next week so I can drop my car off for the day to get tint and remote installed. (cool)