I had only cursive for my entire first twelve years of school, then slowly switched to block letters. My handwriting is really nice, but I don't think it had much to do with my school(s). I can't really glean from your comment why you think the kind of writing you are taught has anything to do with the kind of writing you use now.
I stopped writing in cursive the minute I graduated from high school and never looked back. I understand the point and purpose of cursive, I just never liked it.
By the early 90s, my ability to write began to atrophy, not that I couldn't write fine, but that I couldn't write much without my hand getting tired. Now, I can't write more than a few sentences before my hand gets really tired, but I very seldom have a reason to write anything more than a short note. I still make hand-written notes while working (as a software developer), but I find I'm doing that much less than even 5 years ago.
At this point in time, I'd be more concerned about people's ability to compose good communication than their ability to physically write. If social media is any indication, a lot of people can't write simple sentences that follow basic grammar and spelling rules.