Yeah, for most parents, measuring age in months ends right around the one year mark.
I know plenty of parents who refer to their kid in months through year two, as you're hitting milestones every month or two (vaccines, physical/psychological development, age limit for certain pharmaceuticals, etc) and "2 years" is such a big milestone for them all.
Also, kids who are premature make things extra complicated. I still refer to my son as "13-months adjusted" because if I said "16-months" people would wonder why he was so small.