The link below shows the publisher's restrictions. My interpretation is that as long as the copyright information is included then projecting the reading etc. is covered.
The grey area is when you come to download the whole bible from somewhere.
We recently changed to just using the web download option, which obviously only works if you have an internet connection. OpenLP doesn't seem to retain the capitalisation of LORD which is a shame.
https://www.thomasnelson.com/about-us/permissions