Makes perfect sense to me. Only time I've played with no amp (long story short; multi band event, told not to bring one, band before us had supplied bass rig up till that point, but, understandably had never planned to leave it all night) I was mixed into a floor wedge along with much else.
It wasn't great but I could make out what I was playing. Difference with your plan is you have control over the level, tone, mix etc. I had 10 seconds with a harried sound guy!