I don’t think how it’s practised has to do with differences in vinaya, as from here: Should the Vinaya be kept secret from the laity? - #17 by NgXinZhao
From Dalai Lama’s Book Buddhism: One teacher, Many Traditions, there’s a table comparing the Vinayas.
The main difference between the vinaya of Theravāda, Dharmaguptaka, Mūlasarvāstivāda is on the training rules (sekhiya, śaikṣa), second is lapses expiable by confession (pācittiya, śuddha-pāyattika), the rest has the same number of rules for each section.
“The number and meaning of the precepts in the three vinayas are very similar, and the differences are minor. For example, seven precepts concerning how to wear the lower garment in the Mūlasarvāstivāda are subsumed into one precept in the Theravāda.”
Excerpt From: Dalai Lama. “Buddhism”. Apple Books.
On the ground, theravada monks in Malaysia also, some don’t go for alms arounds (outside of the monasteries) at all. People come and offer food, and it’s (Vinaya) allowed to have a location in the monastery designated as the food storage area for unoffered food for the lay people in the monastery to take, cook and offer daily. It’s much easier for the donors to be able to donate canned stuffs to the monasteries like this.
Even Ajahn Brahm’s place, bodhinyaya has the kitchen area to store and cook and offer food by the 8 preceptors living in the monasteries.