It sounds (no pun intended) like Quake boops the hardware, so it initializes the driver properly and Wolf3D does not, hence no sound.

Any idea on how to get them to initialize the driver without needing to run Quake first?

B. Blaze wrote on 2022-03-10, 17:12:

Any idea on how to get them to initialize the driver without needing to run Quake first?

It could very well be that the other games are not initializing the sound correctly because they expect different default settings per @alexanrs

You need to:
1) Get into your BIOS and disable your printer (LPT1) port, which uses IRQ7 (change it to "Not Used.") This is through the TSETUP utility or by hitting ESCAPE and F1 at the boot splash screen.
2) While in the BIOS, change your sound card setting to the one that @alexanrs mentioned:

• WSS I/O to 530
  SBPro I/O to 220
  IRQ to 7
  WSS (Play) DMA to 0
  WSS (Req) and SBPro DMA to 1

3) Save on the BIOS screen (press END and say "Y"es)
4) Boot back into Windows
5) Edit your C:\WINDOWS\AUTOEXEC.BAT or C:\WINDOWS\DOSSTART.BAT file and change the SET BLASTER line to: SET BLASTER=A220 I7 D1 P330 T6
6) Make sure SETUPSA /S is in the C:\WINDOWS\DOSSTART.BAT

Now, when you boot into DOS mode, you will see:

1WSS Base:0x530 IRQ: 7 PDRQ:0 CDRQ:0
2SB Base:  0x220 IRQ:7 DMA:1
3MPU Base: 0x330 IRQ:7
4ADLIB Base:0x388 CTRL Base: 0x370
5
6Configuration is correctly finished!!

If you get games that aren't working with sound, make sure your BLASTER variable is correct, try other games to initialize the sound card, or try different settings for the sound card. If you adjust the settings in BIOS, I've found that the Windows settings will change automatically, so really, you only will be having to change it in two places: the BIOS, and the SET BLASTER variable.

DOS Games are finicky sometimes, you'll have to play around to get certain ones to work correctly with sound.

* Edit: Also, try running SetupSA and make sure your volume levels are up on everything.

Thank you for replying. I'll give this a try and report back with my success or failure.

After troubleshooting a bit, I've determined that at least in my case, I needed to disable Printer Port (LPT1). Also Windows was trying to be helpful and was messing with the SET BLASTER variable.