The sonic signature of a 300B is a fair bit different than a 12AU7. The 12AU7 somewhat intentionally a tubey sounding choice, as there's a reasonable amount of non-linearity, especially with the stock plate loading resistors.
The 300B is definitely not as tubey, as it's a very linear device. It has a notable amount of weight and punch that I can't seem to get out of any indirectly heated tubes. I wouldn't really want the 300B in front of the 6080 in a headphone amp though, as they aren't super duper quiet, and that's very important in a headphone amp.