I can appreciate that. Even here I had problems finding earth that didn't dry out as soon as I transfered it to a nest box.
I like your nest boxes. Good design. Having a hole rather than an open front with a lip must help to keep the bedding in when the hens scratch out a nest.
Yes, this can be a problem. The end picture is an illustration of what I think you are talking about.
https://www.backyardchickens.com/articles/nest-boxes-why-do-we-make-a-sitting-hens-job-so-difficult.74389/
However, a thick enough straw base in which the hen can make a hollow should alleviate...
Why do you want to move her?
Are the other chickens showing any signs of bothering her?
Most of the hens here sit on their clutches of eggs in normal coops and can come and go as they please.