Style is style- the operation of a set of doors is key. A sliding door can look and fit with most any style, if it is designed with that in mind. . Every door type has a certain set of parameters it must meet.
for example- French doors require swing room. a surface mount barn door requires wall space to slide the door or, or else a bipass setup where half the opening is blocked at any one time. And no art on the walls, unless it is in a niche. A pocket setup avoids that, but necessitates a empty wall cavity. Etc.
I have fit hundreds of homes with sliding doors which looked beautiful and pleased the clients immensely. And also, on some occasions, advised them to seek other options.