There most certainly is evidence that going through male puberty can confer an advantage in some sports. Not all sports. If there are going to be restrictions placed, I would prefer they be placed by the sports’ governing body, who presumably understands how competition works in their sport, based on science.
In this case, though, it seems to be based on social issues, as some others in this thread have pointed out. There are reasons why the womens-only tournaments were formed in the first place, and some feel that letting trans women in would undermine those reasons. We can’t just pretend those reasons don’t exist.
Socially, I have no problem addressing trans women however they want to be addressed, or letting them use whatever bathroom they want. I would prefer to let the governing bodies of individual sports and activities decide what is most fair for all involved, using science. I think politicians should generally get their noses out of all of it, and leave people alone to discover who they are.