A long, long time ago I used to work as a technician in a shop that aligned INS for aircraft (although I didn't work on them myself). I think what the OP is referring to is that during the alignment process, the assumption is that the acceleration due to gravity is always perpendicular to the INS gimbal frame. So if there are any errors in the INS leveling during alignment, they can cause errors in the INS calibration. I assume this is what the OP means by "tilt error" (although this is the first time hearing of the term). These errors then get compounded during use. You can look up INS alignment processes for more information.