Incredibly loaded, emotional and difficult topic to debate. The heart says let people do as they please. The mind realises sports is incredibly competitive and like it or not for many it's not just about taking part, but 100% trying to win and get medals. Male and female bodies from birth are not always identical. From hormones to skeletal structure to weight and mass averages all tend to tip in males favours. Just look at the strongest humans on the planet, the size of them and body/muscle mass. Majority will be men, nearly all the time.
Outliers exist and a strong woman can of course physically be stronger than men. This is nothing to do with arbitrary equality though, but biology, science and evolution. It's why even within male and female categories sports can have brackets. Some people are genetically monsters, as in unbelievable athletes or in a different league of strength from others. The perfect gene combinations mixed with their skeletal structure, height and more.
Joe Rogan gets a lot of heat arguing around these topics as people demand he uses his heart more. As someone who is a UFC know it all, you can see exactly why he argues as he does. Feelings do not negate biology, science and reality. This can be hard to just ignore for athletes who have trained all their lives and know the human body far better than people commenting on the internet.
So all in its tough as hell to debate this. Officials and doctors really need to look at things on a case by case basis. Given the extremely small % of people who are transgender they should be able to make judgement calls based on brackets of competition. Not to mention if someone is so far ahead of who they will be competing with, borderlining on not just a little ahead but a light year ahead, it may be the case they need to compete in another group. People may lose their shit over this but sports is often about trying to be as fair as possible within a bubble of competitors. It's not about everyone who takes part is equal, often in sports some are way ahead of others. However, if it's so far ahead a competition can basically be walked, like it or not it may have to be discussed.
I try to air on the side of reason, that being transgender people have every right to compete but as I said if doctors, officials and experts can acknowledge one body is light years ahead of the others and it may be due to how that body matured, it may be best to show caution. As people transition at different stages it's not just a case of the hormones sort it out! If a body has developed very far as male it is likely to have a lot of the biological and evolutionary traits that could favour strength, mass and skeletal density. These things can be crucial in weightlifting. As I said at the start look at what the strongest men push weight wise, on average, and compare it to the figures the strongest women push. Then just look at the averages as you somewhat go down some of the categories between men and women.
Edit: For the lazy you can even just compare some figures here between males and females
https://en.m.wikipedia.org/wiki/List_of_world_records_in_Olympic_weightlifting