That is about right
How far was the meter? At 12 ft, you loose about 8 dB in a room, different from free space numbers.
So, if you were at your seated position of about 12ft, that would have been about 111dB at clipping, and -3 dB below is 108dB.
The models are pretty accurate. After all, it had to come from something in the past; certainly not from thin air, but from experimentation, lots of it.
Also, remember, what happens to that speaker at 119dB spl? How badly is it distorting, compressing, etc???