Now hang on a minute there. It depends on what you want to do before you can judge whether 8 bits is sufficient. Even Tek DSOs worth thousands of dollars use 8 bit samples, because their screens are set up for 256 pixels of waveform display area vertically. 8 bits is all you need for looking at waveforms.
It's also nice to have a good sound card, but for different purposes, mainly for you need more than 48dB of dynamic range. Things like SNR measurements and spectrum analysis are much more useful when you have 16 or 24 bits per sample.
For that matter, an analog scope has its purpose, too. A CRO is better than either a sound card or a DSO for some things.
A DSO should probably be last on the shopping list for audio. It's very convenient to have a small box that you can keep near your computer for doing quick measurements, especially if you don't have to space to keep your big CRO on the workbench all the time. You could use the DSO for quick checks and then drag out the CRO when you need a better dynamic picture of the signal in action.
Now all that aside, there is one thing about the Bitscope that you need to know, if you decide you want one. While it's usable now, and it's been improving steadily for years now, the available software is still a bit rough. This is changing quickly now, as Bitscope Designs is in late beta now on a new DSO program for the Bitscope which blows every other Bitscope-compatible program out of the water. I've been using both the Windows and the Linux version for a few months now, and it's getting quite good lately.
EDIT: If you decide to get one, be sure and get the network option. The speed improvement is very dramatic. Actually there's supposed to be a USB adapter available soon, too, which will have the same speed advantage. (Both are limited by a 600 Kbit/s bottleneck.) The USB version might be tricky to make work on non-Windows systems, though. The network module uses UDP, so it'll work with any computer that has a TCP/IP network stack. It's also nice to know you could put the Bitscope as much as 100 yards away from the PC if you wanted to. USB has a much shorter max distance limit.