If by that you mean they follow the rules of the Catholic Church, you are right. If you mean it disregards all the rules and teachings of the church, you are wrong.
Can gay students attend Georgetown? Of course, and very welcomed. Can two gay students get married by a catholic priest in the chapel? Nope. (and neither can two protestant or Jewish students). Can a female student become a jesuit priest? Nope.
The school (and all the jesuit schools) welcome all students, but the school is still catholic. Can a wican attend? Yes. Will the school put a wican message on the stationery? No, it’s pretty much going to have a Catholic message like ‘Yours in Christ’ or something about the pope (who happens to be a Jesuit), or the mission of the school.
The school doesn’t provide birth control on campus, in the Georgetown hospital, or through its insurance program to its students or staff. There are work arounds to make it free to all who want it but that may require going off campus or using mail order.
They do not follow and often snub the rules and teachings of the Catholic Church, as do other “Catholic” universities and colleges. The examples you cite are all related to the chapel or religious areas of campus. Yes a priest won’t marry a couple in the chapel if they don’t meet certain criteria (which includes being a current student, alum, faculty or employee (or a child of the same) of the school) and women are not allowed to become priests but there isn’t a seminary at Georgetown so I’m not clear how that relates to the University following Catholic doctrine and teachings. I’m speaking about the actual academic institution which is for all intents and purposes is secular and liberal/progressive. This isn’t a new situation. Georgetown has been in the process of abandoning its Catholic roots for decades. No one who attends Georgetown believes they are matriculating at a University that actively teaches, supports and endorses Catholic teachings and doctrine. That isn’t to say that there isn’t a place for religious worship, participation in religious activities, clubs and so forth on campus but pretty much all schools provide the same.
This is a quote from the Georgetown student health center. This is how they get around the Catholic “no contraception” requirement with a wink wink.
I disagree with this. There is a Jesuit priest as the president of Georgetown and as far as I know the president of every Jesuit university. This is included on the website:
Our Catholic & Jesuit Heritage
Shaped by centuries of Jesuit education around the globe, our culture embraces the changing times while staying true to core values – engaging your intellect, helping you grow ethically and spiritually, exchanging ideas freely and building a more just world.
(Bold is mine)
I believe it is a catholic university and follows the rules and tenants of the catholic church. Why else would birth control not be handed out on campus, by the administration, as it is at many colleges? The fight began in 2012 with Obamacare and Sandra Fluke, a law student at Georgetown, who fought the birth control policy. She lost. The school said "Students who do decide to purchase the insurance plan offered by Georgetown should be aware that it “is consistent with our Catholic and Jesuit identity,” DeGioia said.
The position hasn’t changed. Why would the president of the university refer to the Catholic and Jesuit identity if the school was catholic in name only?
There have been several similar threads to this in the past because Washington, DC is the only major metro area in which the top university is Catholic.
OP asked a question and the answer is birth control is restricted at Georgetown (and at all catholic universities and hospitals). Some people don’t want to work around the restrictions. They won’t be changed, so don’t go to a catholic school if you want to change it. Accept it for what it is.