Yeah having a dedicated space can be important depending on what your needs are to do your best work.

For writing, it seems most important to have your own time and undisrupted headspace. It's funny because I have a desk from which to write and do creative computer stuff, and completely value this space but when I'm home alone I find myself carrying my laptop all over the place and writing from the couch, kitchen table, dining table or outside. However if I'm not home alone, I use my own desk more often. For me it's mostly about whether I'm concerned about being disrupted or pulled out of my focus.