Whether the university for the aged has a student ID card or not and whether the student ID card can enjoy the discount of student tickets may be different in different regions and institutions.
Generally speaking, the student ID card of the senior university is issued by the local senior university association or the senior university itself, which is not a valid certificate recognized by the state, so you can't enjoy preferential student tickets in public transportation, scenic spots, cinemas and other places.
However, there are also some places or institutions that give some respect and support to the student ID cards of senior universities. For example, in Beijing, the student ID card of the university for the aged can be admitted to some museums, libraries, parks and other places for free or at half price. So the specific situation depends on the regulations of your area and the university for the aged.