As you can see, the patterns I have created are consistent and I was wondering if it's possible to make it non-consistent? (But the shape should still be going towards the centre)
You need to expand the paths first, see this answer.
I would use multiple different randomize scripts to handle this.
Will randomly resize all your paths (in a specific range), gives variation in size.
By @joojaa, you can use the GUI version to shift all the paths slightly (a few pts range)
You can rotate them all slightly to add some difference in angle.
This is my result after running the above scripts a few different times with different ranges etc.