We're all familiar with Times New Roman. Have you noticed that the letters have changing thickness? You could conceivably write Times New Roman with a calligraphy pen, but not with a ball-point pen. The font Arial, though, has uniform letter thickness. I'm a Times New Roman person more than an Arial person, so I'm with the calligraphy crowd. Plus, it's what I do, so.
A few examples below might help you make up your mind.
|Calligraphy, fountain pen|
|Calligraphy, using a calligraphy marker|
|Cursive, with ball-point pen|
|Cursive, more flourish, with ball-point pen|
|Handwritten, cursive, with thin Sharpie|