If the tip is the same on both cues, and the weight is the same with both cues, and the tip contact point and cue elevation are the same with both cues, and the stroke is the same with both cues, then there should be very little difference in the amount of draw. If anything, the LD shaft should create slightly more draw. For more info, see:
getting more spin with an LD shaft.
Although, if you are hitting close to the miscue limit, the LD shaft might produce slightly less draw. For more info, see:
physics-based draw shot advice.
Regardless, the difference in draw should be very small if everything else is the same.
Now, if the tip size and shape are different, and one uses "tips of english" as a measure (consciously or not), perceived tip offset can be very different than actual offset, resulting in significant differences in the amount of spin. See the
"tips" of english resource page for more illustrations and explanations.
This might make "logical sense" but it doesn't make much sense from a physics perspective. What could make a big difference is the hardness and
efficiency of the tip.
I haven't tested this specific shot with a robot, but I have done lots of squirt (CB deflection) testing and analysis, and I've analyzed the physics of draw very carefully and thoroughly. (And I stayed at a Holiday Inn Express last night. :wink

For more info, see:
squirt (CB deflection) resource page and
draw shot resource page.
Regards,
Dave