Animal protein is considered to be better than plant protein for lean muscle mass. So it depends if the shake is say whey or soy.

https://pmc.ncbi.nlm.nih.gov/articles/PMC7926405/#sec5-nutri...

I would hardly draw that conclusion from this paper. It's a meta analysis of a handful of studies with fairly low sample sizes, and it wasn't immediately clear that there was any controlling factor wrt amount consumed. There are also a lot of statements pointing out there was no statistically significant difference for various metrics...