The thing is today is not too late but drafting my app and having it reviewed will take 7-10 days. That is, then, basically the deadline. I would rather not take the risk and send my app in the best form early for the summer vs/TC (same deadline: 15/12/21). Last year, I applied to a firm a couple of days before the deadline and got an email saying, in essence, that I am rejected because they couldn't be bothered to read my app (as all spaces were filled).I don't think you are too late. I'll bet they haven't received half of their applications yet.
Edit: I also have sent some winter apps and don't want to overload myself.