In my field (STEM), few faculty want to give out writing assignments. Even fewer actually have their students do them. Fewer than that grade the writing assignments with any degree of rigour, or do plagiarism checks.
I have worked at both a large R1 and a large R2, and the pattern of faculty disinterest is similar. The general viewpoint from faculty is that teaching students how to write is too much of a time-suck. Unfortunate but true. The majority of writing assignments are given out and graded by graduate students, and lecturers "lucky enough" to not have 100+ class sizes.
I have watched student writing ability go progressively down the toilet in the 15 years I have been teaching. Poorer student performance puts a greater burden on writing instructors, as badly written assignments take MUCH longer to grade than well written ones. This further dis-invests faculty...