This Spencerian example looks like what I learned in U.S. (Northern Utah) schools in the 80's. It doesn't say what it's called other than "Early American Spencerian".
That one is a little bit simplified, and as such is very close to something like D'Nealian which is what I learned in school. Technically in Spencerian the letters "d", "t", and "p" have the same basic stem height and are somewhat shorter than other full-height lower case characters. Basically instead of two heights for lower case letters, you get three.
But adapted into business script AFAIU the simplification into two heights, and the shrinking of the "p" stem, is pretty common. I'm definitely not used to making "p" taller than "q" and I am not always consistent about it.
But adapted into business script AFAIU the simplification into two heights, and the shrinking of the "p" stem, is pretty common. I'm definitely not used to making "p" taller than "q" and I am not always consistent about it.