Problem with Serial on Arduino Pro 328 3.3V 8MHz

Ah, those suggestions actually make sense. Unfortunately, the crystal/resonator is clearly marked with an 8, just like the 168 8 MHz Pro that works correctly, so unless it is oscillating at twice the marked frequency, that is not the problem.

I'll print out the contents of the baud rate registers and see if what the chip is being told to do makes sense based on what it is actually doing.