I guess that question would lead into the whole discussion about my purpose for writing.
Let's start with a list. I like lists.
REASONS I WRITE:
1. Because I can.
2. Because I have something to say.
3. Writing helps me to sort my thoughts.
4. I have a vivid imagination
5. Writing is, for the most part, uninterrupted.
6. It's relaxing.
7. It's fun.
8. It exercises my courage.
9. I want to be understood.
10 Sometimes I have something to share that encourages others.
11. I feel good when I read or hear that someone else appreciates something I have written.
12. I communicate better with writing, than I do orally.
There you have it. Twelve reasons for writing and only the last three need an audience.
Let's get more specific.
REASONS I BLOG:
1. It's a cheaper method of publishing.
2. No editors. (That sometimes is a good thing)
3. Again, It exercises my courage.
4. Because I have something to say.
5. I have freedom of speech. (Canadian perk)
6. I write about issues that I don't feel free to talk about.
7. It is a quicker way of communicating my thoughts and ideas.
8. I want to talk about the "elephants in the room"; the "hot button issues"
9. Again, I want to be understood.
10. Because I have the freedom to, I blog.
So to answer my question posed in the Blog title... Yes, I would continue to write even if there wasn't an audience. As much as I like the appreciation, it is not the focus of my writing.