“Kholov HaCompanies” is the term found in Igros Moshe.
Note that the shailo today is also a /d’oraisa/ of /treifus/ because of the surgeries that are routinely performed upon dairy cows. Thus, some (many?) say that even Igros Moshe would not permit today. As always, one should consult his personal poseik/ morah derekh.