Malwarebytes is not designed to run in safe mode. Yes it will run but all drivers are not loaded so it will run crippled. and Avast has boot scan
Boot scan/safe mode does not have any detection advantages, what it has is removal advantage, files that cant be removed/cleaned because they are in use dont run when in safemode, but not needed to do unless you have problems running it in normal mode or instructed to do so.
Most of todays security programs will give a message after scan "this and that file will be removed when you restart"