First of all this is about pads, so I don't know what all these jokes about changing tampons is. A lot of people who are going to transition hate their bodies and wont let anything inside them.
It is so simple anatomy vs the mind and the gender you identify with. When your period starts at 11 you can't transition like that. Even if you start with hormones people still have their period (often light). Some people don't have money for the process, are too ashamed or live in a country where this is not even allowed. So when you feel like a boy and your vagina keeps screaming every month that you are a girl it is horrible. Men don't even know how it feels to be on a period (the cramps, the hormones, shame sometimes when you have to go to a bathroom, cancel things like sports/swimming).
So during a period people who already are sensitive can become even more sensitive and anxious. Walking to the 'female hygiene' section in a supermarket and buying a product (waiting in line at the cashier) are difficult when you don't want the world to know you are born in the body of a woman. It is a real problem, so just take away the logos and the stigma.
https://www.refinery29.com/en-gb/gender-dysphoria-and-periods