We would occasionaly install that style of cross-type bridging when I was on a framing crew. I was taught the technical name is "herringbone bridging." But most of the time we installed solid bridging, staggered of course.
The stock in the video looked like 2-by stock. We used 1-by and cut it to length on a chop saw w/ a stop block. I remember my carpentry instructor said the herringbone was stronger than solid, but that it was more time consuming and thus less favored.
But the technique in the old video is great. Not scribing exactly, but in the spirit of the old way: no measuring, just cut-to-fit...
And we learned carpenters always had 2 crosscut saws: one in use, the other at the sharpener.