Was the low voltage error pending, or stored?
Dealing with vehicle electronics is sometimes hard decision.
Logically you should have the computer fully scanned, troubleshooted and confirmed.
But such procedure can easy cost $300, while replacement computer board might be $100.
So to some degree taking a risk in dropping part without full scan can be a good bet.
Being mechanically inclined I become pretty good in car electronics as I could not stand technicians who would charge high hundreds or even thousands for computers, where $90 sensor was bad.
Get 2nd opinion if you can, or make sure the shop will take the computer back when they misdiagnose.
