Baby after a 3rd degree tear

Spec
I'm 4 weeks pp after my first. I had a perfect and easy labour but bubs came out too quickly resulting in a 3c perineal tear. 
It's still ages away, but some doctors have suggested they won't allow me to have vaginal births in the future, whilst others have said it's fine provided I complete the physiotherapy. 
Just wondering if anyone has given birth vaginally after a 3rd degree tear and what your experience was like.