No, don't use the manufacturer's throw distance, it's too conservative, especially for a 16x9 screen.
If you set it up properly for the widest image you want to evaluate, including red/blue toe-in, scheimpflug focus, etc. then you should be able to move it closer and evaluate a smaller image size with minimal changes. Just leave the lens toe-in bolts loose and recenter red/blue with this, and refocus optically, then touch up convergence and you should be close enough to see the difference. Leave the size adjustments alone; if you resize the image on the crt this will not be the comparison you want to make as this will affect the light output.
You don't say which 9" projector... For a G90 (measured at 350 ANSI lumens) a 107" wide image would be about 10 foot lamberts on a 1.3 gain screen - not over bright but you might find this acceptable. If you drop to a 96" wide screen this goes up to 12.6 foot lamberts, a significant increase.
William