Blood Rule???

[splitveer]

A one point game late in the 3rd quarter. A1 is fouled by B1 and goes to the line to shoot 2 Free throws. Before the foul shots blood is seen on A1 jersey and B1 has a bloody lip.

We decided to give time to get jersey changed for A1 and B1 to get his lip taken care of. This did not take a lot of time. Now, I realize the rule states that players must leave the floor for Blood, and can be brought back in the game with a timeout. But since both players were key players on each team we decided to handle it in a different way and let them stay without the charged timeout. Neither team was gaining an advantage or disadvantage based on the rule as we saw it.

Was this bad game management since we disregarded the rule, or was this appropriate based on the situation? OK fellas, let me have it!