Do you think Edgar will do better on the feet against Max than Aldo did? I do. I think that even if he can't secure a takedown, max will respect the threat and be thrown off by Frankie's takedown feints.
Much as I love Edgar, I think this is Holloway's fight to lose. Based off the Aldo fights, it looks like most of the takedown defense begins well before the actual takedown is shot, and Holloway has a number of tools at his disposal.
His height and ability to fight long will be a problem, as he's a fighter who finds and utilizes his range to pick guys apart, with scary execution. He doesn't have the most reach (even for his height), but his defense in many of the exchanges allows him to simply fade away from counters, where even if they do land, he has a solid enough chin to absorb blows and fire back. That's not the type of fight Edgar wants to be in, as he's likely to come up on the receiving end much more often.
Fighting at range and in the lowered stance Holloway tends to, allows him to anticipate the TD and respond, along with a fair chance at stuffing/stalling them out. Edgar certainly mixes up his attempts, but there's only going to be so many methods to approach at range. Once Holloway sees the game plan, there's fair potential he capitalizes and pulls away as things go on.
Now Edgar has fought guys as big and heavier than Holloway, for sure. Personally, I think he's really going to have to use all of his arsenal, including generous leg kicks (while intercepting any of Holloway's), but the champ is a scary guy, in his prime, firing on all cylinders, all while supremely confident. I don't like to doubt Edgar, but I do think this is an uphill battle for him. May the better man win.