I would imagine not, because crit chance doesn't change. If you roll crits on 20, your crit chance is the chance of rolling 20 on a d20. That's 1 in 20 or 5%. If you take the Champion subclass, you roll a crit on 19 or 20, which doubles your crit chance to 2 in 20 or 10%.
And that's how it goes for every single attack you make. Your crit chance stays the same.