#1. Should sign Braun Strowman: A unique look and the potential for a monster heel/babyface
One thing that Braun Strowman would bring to the AEW roster is a unique look. While Luchasaurus is also a "giant" in AEW, his star power doesn't match that of Strowman.
Braun Strowman brings a lot of uniqueness to the AEW roster and he will stand out - something that would benefit him. AEW doesn't have a monster heel like Strowman, and he could add a good dynamic to the roster.
A top AEW star just called one of his colleagues 'spoiled' and 'narcissistic' HERE.
There are several "smaller" men on the AEW roster, and Braun Strowman has proven to work well with them in the past. It's easy to imagine Strowman having far better matches in AEW compared to WWE -- perhaps even better than his series against Roman Reigns a few years ago.
Braun Strowman's unique look alone along with star power can prove to be a difference-maker. Not only this but he can be used on certain occasions to build big babyfaces.
AEW doesn't have a Superstar who can legitimately be as physically dominant in the ring like Braun Strowman. He brings a lot to the table.