Here's some great footage of Al Jackson Jr. playing with Booker T & the MGs.
A few observations:
Check out the big dynamic range!
Even when he's chocking the cymbal on his left side, he switches hands and brings his RH to the snare to keep the backbeat going.
Even though it's a shuffle feel, he keeps his timekeeping to quarter notes and occasionally goes to triplets in his fills. Very elemental, in the best way!
Also he's bending the pitch on the small tom near the end of the tune. he was a colourist while still taking care you the groove! Enjoy!