Ab-initio flying training is very much ‘under supervision’ through to the completion of the three required hours of solo experience. Therefore any good CFI will monitor both the low-time instructors and the students during those early periods, certainly from revision onwards.
I would have no problems with low-time instructors teaching the first two or three hours of circuits but the student should then be passed on to a Grade 2 or higher for solo check and first solo.
Formal crosswinds should not be taught until advanced circuit training. For early training choose the conditions (early morning) and allow the student to consolidate. Observe the students’ solo periods (those first three hours) from the edge of the runway and provide feedback to the student on how each stage of the each circuit was flown. To fly an early student in crosswinds is just value-adding … to the school coffers or the instructors log book.