I realised recently that my shorts have a netting like swimming shorts do and decided to ditch the boxers and see how it was. What an absolute game changer! I don't know why I didn't do this a year ago when I started running.
It’s a personal preference. For me, I only buy shorts without liners and wear my own from Saxx. I tried a bunch of different built in options about 15 years ago and ran into uncomfortable compression or chaffing issues.