+1. If you have a brad nailer it's the easiest way. It's way easier and faster, and the heads usually burry just below surface grade so finishing is easy. The heads themselves are small and easily filled so it's less finishing work hiding them. You don't have to predrill holes, you don't need to countersink the screw heads, or drive screws.
Putting in screws in one side might take 20 minutes and require a helper. You need to make sure the panels line up perfectly, and hold them there while you drill the screw pilot holes, and the countersink for the screw heads. Then you need to split apart the wood and apply glue, then fit it back together perfectly, and drive in each screw one at a time. It's not hard, but it's harder than a few shots from a brad nailer. No question about it.
I would not want to build boxes without my cordless bradnailer. Well worth it's cost IMO. It's the perfect tool.
The main benefit is you can glue up the sides stick them together and align the top corner then shoot. BOOM. Done. Line up the bottom and shoot. Boom. Done. Put one or two more in the middle to snug it up. BOOM! Done. It's done.
That took like 2 minutes. Once the glue or PL premium dries the glue is what is really doing the work, the brads were just permanent clamps to hold it till the glue dries. It's way easier to fit it perfectly and brad nail it than fit it perfectly and drive in countersunk screws. You'll need a helper with screw method to hold the pieces. With a bradnailer you can do it solo and get great results.
But all that said, the screws will work perfectly just take some more effort. So if a brad nailer on his island is hundreds of dollars, I'd skip that and just use screws! Who cares if it takes a couple more hours. Results will still be great. Only problem I see is you really ideally want a helper to hold the pieces for you while you drive the screws and line up the panels. That's not a big deal though.