But this seems weird. The requirements are identical. You need to declare your scores and education to enter the pool, and provide proof only after receiving the ITA. There is absolutely no inequality in procedures.
Here's the website I used. It basically archives different websites at earlier dates.
https://web.archive.org/web/20180926101656/https://www.canada.ca/en/immigration-refugees-citizenship/services/immigrate-canada/express-entry/documents/language-requirements/language-testing.html
It looks like TEF was accepted once upon a time. TCF was never accepted. Now it's TCF Canada and TEF Canada. Like someone else pointed out, maybe you were looking at Quebec immigration, where they did (or do) accept TCF.
Edit: I think I understand your confusion. In the profile creation page, when it asks for language scores, the only two choices are TEF and TCF, but the truth is they mean TEF Canada or TCF Canada. That might have confused you and led you to take the regular TCF instead. Unfortunate. I hope you get the TEF results soon. I took TEF in February and got the results in 12 days, so I'm sure yours will get to you soon enough.
Plus, if you're french, the exam should be pretty easy for you anyway.