My pillow, with original cover, fits in very well. It is not pure pressed and there is no material left, could disturb.
The cushion cover has a nice thickness, thus my pillow feels more comfortable at. The skin feel is very pleasant. I sleep now felt a little bit better than alone with the neck support pillow.
It is also positive that the cover can be machine washed. I especially respected it because I wanted to use it as a top reference and do it well.
From me so strong buy recommendation!