In my personal experience the most of the time I've hand written stuff that needs to be graded are mid term and final exams. 90% of the time are digitally typed essays and research papers. I've only written in cursive but my profs are mostly older and I've never got any complaints about it. Also most profs out there are trying to give you as much help as possible. They're not out there to try and fail you. Most of them anyway lol.

I've also never used laptops in class and have only taken notes by hand. Maybe practice like that would help?