The Eddie Mathews bat was probably patterned for more power as the thin handles and think barrels were more for the power hitters. The Nellie Fox model with the thick handle for more for just making contact and getting singles.
I had several bats from that era but for the life of me can’t remember the names but that has been over 55 years ago.
In my opinion Nellie Fox and Luis Aparicio were the best middle infielders ever! And both are Hall of Famers!