I had this same thing happened to me during picks. Then the draft proceeded as normal and gave me random draft picks. This happened multiple times during each pack choice. I was on android and I have a 1 gig stable connection. I was getting the waiting for server multiple times before the draft also. I was also unable to capture a log file. Everytime I clicked it, nothing happened. Gems wasted and I'd like my gems back because I wasn't able to proceed properly and the app wouldn't let me capture anything.
I keep getting the "waiting for the server" even during my matches, and then it just times me out or doesn't allow me to respond to my opponent.
It looks like my opponent isn't doing any thing and when their timer expires the app tries reconnecting to the server just for me to be behind a turn or two. It's gotten to the point where if my opponent takes to long i assume it's me and just close the app and rejoin in hopes of catching my turn before I'm skipped.

User: Demon0taku
Format: Powered Cube Draft
OS: Android 17. Samsung S23 Ultra. OneUI 9.0
Time: ~7:30-8:00 PM CST