OPT cap-gap 问题

LZ 的OPT5月18号到期,因为申请了H1B所以让学校开了个新的I20把最后一天延长到6月1号. 之后我自己上网搜移民局官网加上公司律师都说我最后一天是按照h1b reject notice上的日期算的, 就是说即使H1B没中我6月1号之后还可以工作只要notice没收到,
但今天学校DSO回我邮件说我6月1号之后就不能工作了, 就进入grace period了. 想问下到底哪边才是对的..下面是我从USCIS官网上看到的解释..

Once a timely filing requesting a change of status to H-1B on October 1 has been made, the automatic Cap-Gap extension will begin and will continue until the H-1B petition adjudication process has been completed. If the student’s H-1B petition is selected and approved, the student’s extension of status will continue through September 30. If the student’s H-1B petition is denied, withdrawn, revoked, or is not selected, the student will have the standard 60-day grace period from the date of the rejection notice or their program end date, whichever is later, to prepare for and depart the United States.

https://www.uscis.gov/working-united-states/temporary-workers/h-1b-specialty-occupations-and-fashion-models/extension-post-completion-optional-practical-training-opt-and-f-1-status-eligible-students-under-h-1b-cap-gap-regulations


学校把opt cap gap extension分成了两种,
        1, 申请H1B但没消息, extension到6月1号  
        2, 抽中了,收到receipt才能从6月1号extend到9月30...

但好像USCIS并没有这种规定. 一切已notice日期为准...
有没有类似的小伙伴求解释...谢谢!

同问

学校DSO只认儿童节