I am using my 13 inch inky display for my own birdnet - I also posted this in another thread last week https://i.imgur.com/5XbM6bb.png
I also bought 3 more 4 inch ones. Here is the first deployment next to the fish tank - https://i.imgur.com/nj8nKrS.png - I like this because I can stuff an rtl sdr in that box too, so it picks up nearby radio sensors in addition to BT. Real nice project screen!
I usually only refresh the image on the screen every few hours. I love how the image stays even with no power.