It's a personal choice - not modern at all. The way I was taught was foundation strip piecing. When we had enough squares, we sewed them together and tied them (backing, army wool blanket, and piece top). No borders and no binding - just hemming.
The current lap quilt for DH has no borders - Window Paned D9P. My tumbler and Dancing Cranes both have wide borders.
I remember one quilt a while back, it was a rail fence. I ran out of a couple of fabrics. It was a Quilt in a Day pattern and I was suppose to get 5 blocks (8 1/2" unfinished) from each strip set but was only able to get four because fabric is not the same width. Some were 40" and some were 44". I bought my fabric according to the pattern. Well, I was short by several blocks. Went back to the store and they were out of some of the fabric I needed. But they had a bolt of one of the fabrics so I bought enough to put wide borders to make the quilt the right size. Lesson learned - buy extra fabric. If all goes well can always make matching pillowcases with the leftovers.