F=MA, force equals mass times acceleration. Gearing is a force multiplier. If Force increases, Mass stays constant, Acceleration increases.
If the gearing is lower, the bike's engines Force is in in practical terms increased. This is how small motors move large loads, through gear reduction.
The "pulling" is how long the bike accelerates before hitting "red line". There will always be "gear overlap", a term derailleur equipped bicyclists are painfully familiar with.
If you change the overall ratio to a lower number, the resultant acceleration period spent in each gear is shorter. The total time to achieve terminal/final desired velocity is reduced. Lower gearing allows the engine to "pull harder (accelerate harder)" in each gear before hitting engine Red Line.
This is why 5 (or 6) speed transmissions are popular. If you are trying to accelerate in Traffic from dead stopped to 45 MPH, 1st thru 4th and a hand full of throttle will get you there faster that 2nd thru 5th. A 6-speed is icing on the cake. That's what the 650 Interceptor comes with standard. My 4 speed Bullet always feels like 1st is too high, but if geared down, 4th becomes too low.