Every league in the country, even the small nothing leagues, care about basketball.
That's the big difference. SEC basketball will never dominate the way baseball does because baseball has a lot less competition. A lot of major D-1 programs don't even field a baseball team. Half of them are in a climate that's unfriendly to baseball, and many of the others that do field a team treat it like a club sport.
You can't compare the two sports based on RPI alone or NCAA appearances.
No matter the status of your program, if you are an SEC baseball coach, reaching a regional is MUCH easier than reaching the tourney if you're a basketball coach. There is no comparison.