Um, yes a bad ground would cause a fuse to blow. You are largely mistaken. If the fuse didn't blow with a bad ground, you'd have a fried audio component.
The only thing a "bad" ground causes is intermittent system performance.
ive seen grounds and the power side both cause fuses to blow,not only on stereo equipment,like when you have a loose coonection,the on off cycling heats things up pop,,bad connection also doesnt allow the system thats operating to see the full system voltage,,,,,it may be your problem,,but i doubt it,,im not really into car audio