My period didn't stop until 3 months on T, but each time leading up to that was shorter and lighter than before. So your experience is definitely contrary to mine.
How long have you been on T? What are your T and E levels at? You should be getting these levels tested every 3 months for your first year on T, so I would strongly encourage you to go see your doctor and get them looked at.
You said you've had 4 periods since starting T, which I'm assuming was 4 months ago. Most doctors want your period to stop between 1-6 months after starting T, with 3 being the norm. I would get your levels checked to make sure the T isn't too high and converting to E. I would also ask your doctor about depo provera to stop your period while you figure out what's going on.