I trained a ton in asseto Corsa before my first track day and while I had to adjust to my own car in the track (since it doesn't exist even as a mod for the game) I found that it was a lot easier to nail the corners in real life because you can feel the g forces and get a better feeling of where the car is going. Did you feel the same?
My car is fairly slow and we'd only do 3-4 hot laps tops each session and it's also a very light car so I didn't have to deal with brake fade (frankly I struggled to brake hard enough since I'm so used to being smooth when driving as well)
And of course I also had the same thought you did about there being no way I could go as hard as I did throughout the day without going into the grass if I hadn't trained in the sim (and gone into the grass multiple times in there)