You have highlighted some valid points but still, why can’t she communicate her feelings to him? Tell him she doesnt feel comfortable communicating like this? Or that she had prefer to keep it low? Thru other means? Etc etc. Keeping quiet is not going to help it.
In my opinion, she is not interested. If she was, she’d make time atleast to discuss her reservations regarding mode of communication or extent of it or whatever could be bothering her.