I am not sure how EE used for sending web page to e-ink. but there are 2 options IMAGE and EPUB.

The second choice EPUB, EE may convert web page to EPUB and let the defaults Library open it automatically to e-ink.

Can you capture LCD screen and convert to e-pub and send to E-ink?
just post (or PM) the method and i hope many members may try to re-create the program.