Usually, by doing this, you can get a good idea of what bats the player uses the most. Other collectors like the rarity of a bat not commonly associated with a player, but beware just because a bat was made for a player does not mean the player used it. Second, and just as important, is the difference in visual appeal between the brands. Some collectors prefer the classic look of a Louisville Slugger while others are drawn to the unique designs attributed to modern KC Slammers or vintage beauties like the white lettered, caramel colored Adirondacks of the 1950's and 60's. In addition, some bats include the team name on the barrel while others do not.
Some collectors prefer bats that include the team name in the labeling for display purposes.
Keep in mind that most vintage bats never included the team name as part of the labeling. The bottom line is visual appeal. Each brand offers a different look, but some bats are clearly better looking than others. Rarity - Like most collectibles, bats are judged by rarity. For example, a 1950's Mickey Mantle game-used bat is far more rare than a Mantle bat from the 1960's.