Glad to hear that your camera is functional again; too bad about the self timer.
Unless a shutter has been recently serviced or is known to be functioning well, I'd avoid using the self-timer because if it fails, the shutter might then be jammed.
That said, I have over 70 cameras, most of them with a self-timer, and I know the self-timers work because I use them.
When do I use them? Except for two nights ago, I don't usually walk around with a tripod and cable release, so oftentimes I'll place the camera on a flat surface, select a small aperture (e.g. f/11) and very slow shutter speed (e.g. 1/2 sec.), then use the self timer to trip the shutter and make the exposure without vibration.
Interestingly, I find that Exaktas most likely have reasonably well functioning slow speeds and delayed speeds.