The two OPL2 chips in the SB Pro are hardwired to the left and right channels. Outputting the same data to both at the same time is the only way to ensure that the chips are in sync and you can hear the same output out of each sound channel. This is easy to do, the Bus Interface Controller would just make sure both chips are enabled when the data on the bus is from the Adlib/SB ports.
The OPL3 has two sets of registers. The data cannot be sent twice, once to each set, when sending Adlib data to the OPL3 chips. This would not work because the channels would be out of sync and as you say, the stereo function is not done in this manner. I would guess that either the OPL3 default is for center sound output or, less likely, Creative Labs programs the chip in someway to set the sound channels to center by default.
The former is more likely because Yamaha wanted to ensure OPL2 compatibility. No OPL2 music would come out of the card if the programmer had to set the channel registers, registers that did not exist on the device he was programming! The OPL2 is a mono device and has no such registers. Defaulting to center would prevent customers from complaining that their music only came out of the left or right speaker! Plus, the mixer chip's stereo bit only affects digitized sound output and Creative Labs used the same bus interface chip on the Pro 1 and Pro 2.