Few problems with your presumptions. If you've already turned the key on - the igniter is probably dead
Dont worry, you cant use this igniter with your lt10 anyway.
FWIW, the 2 pin plug, blue and black are the coill outputs so you really shouldnt put 12V in here without a load on the other side of it (like a coil ) The 6 pin plug has, ignition trigger, ignition channel select, +12V ign, ignition confirmation and tacho drive.
The 4AGZE igniter is an intelligent, addressing type igniter and hence incompatible with most aftermarket management. You'll have to get a 2 channel "dumb" igniter (I have these) for the system to work. I assume your LT10S has been setup for multicoil already (it should have 2 ignition outputs enabled plus tacho). If not - you may have to send it to microtech for "reconfiguring".