I have a set of RCBS check weights and my electronic scale and the scale reads them just fine. Some of the eights are pretty small.
In my opinion, the inexpensive digital scales can be hit or miss. Of course, the better quality the scale is, both beam or digital, the more reliable the results.
I never have battery problems as I buy digital scales that work off house power and plug into TVA. Of course, TVA has trouble with its "batteries" on occasions.
Wind currents affect both. Stray radio frequency emissions emitted from various devices will affect a digital scale, but usually the scale can be located to minimize these affects.
Digital scales require a little different operating procedures from beam scales. If you do not zero the tare weight frequently the weight indicated might drift with each successive charge weighed. This is not the same as calibrating, which should be done at least once during the session. I zero my scale every or every other charged weighed when adjusting the powder measure, and the before every check charge during the reloading session.
The smallest charge I have weighed on my digital has been about 1.5 grains for 25 ACP. Results were just fine.
I prefer digitals because it displays the actual weight of the charge without any action from me. On the beam, I have to spend time moving the weights around if I want to know the exact weight and how much it varies from my target weight.
But different folks have different comfort levels with the different technologies.