Strange experience.
First - don't expect them to adhere to any timelines they give you. I was referred by someone, and they told him they would reach out to me the next day. I did not hear from them for over a week. I was also told after my second interview that I would hear back by the end of that week at the latest, and instead I didn't not hear back for two weeks.
The interview with the hiring manager was disorganized. He clearly had not even glanced at my resume. He spent time explaining very basic things about marketplaces to me (I have years of marketplace experience, including at two other tutoring marketplaces). He was almost ten minutes late, I tried to do a short intro (as is standard in every interview I've ever been in), and he cut in after everything I said to the point where by the time my "intro" was finished, we'd run out of interviewing time. Perhaps this is his preferred interview style, but given that it deviates so much, he should make that clear.
In the end, he said he was definitely going to move me forward.
However, a recruiter reached out two weeks later with a bland template email thanking me for my time and boasting about how competitive their process is (how many applicants they get, etc).
I would not apply here again. If you do, perhaps you will have better luck outside of the product team.