I went through the dual process myself. I did have connection, or "nexus", between misconduct and medical disability so it went medboard for me in the end. At first the general had picked adsep but luckily I had good copies of my records and was able to provide documentation of the link and he re-ruled in favor of medboard. This was also using my provided jag attorney as a representation to the legal team in my command. So put them to use if you can.
But yes, as mentioned above, the two packets for adsep and medboard will be presented to the first court martial convening authority within your command by his legal team for a decision. From what I've seen on here in the past, very minor misconduct, failed PT tests/height weight stuff usually isn't the route the go. More major misconduct is a bit more if a battle yea.