No. The first swap, with Washington, gives Phoenix the lesser of the two picks as payment for Beal. Then Phoenix sold swap rights to Orlando on the pick they get (the lesser of the 2 between Phoenix and Washington), so that Orlando gets the better between that one and their own. So Phoenix is guaranteed to get THE LESSER OF THE 3. Washington or Orlando may get the better or the one in the middle, depending on where they end up, they're just guaranteed to not get the worst of the 3. For instance, say this is the order before and after swaps take place:
1) Before: WAS, ORL, PHO - After: WAS, ORL, PHO (neither swap)
2) Before: ORL, WAS, PHO - After: ORL, WAS, PHO (neither swap)
3) Before: WAS, PHO, ORL - After: WAS, ORL, PHO (only ORL swaps)
4) Before: ORL, PHO, WAS - After: ORL, WAS, PHO (only WAS swaps)
5) Before: PHO, ORL, WAS - After: WAS, ORL, PHO (only WAS swaps)
6) Before: PHO, WAS, ORL - After: WAS, ORL, PHO (both swap)
Suppose every prior scenario is equally likely (unrealistic, but indulge me for the purpose of clarity):
Washington ends up with the better pick 2/3 of the time and the middle one 1/3 or the time
Orlando ends up with the better pick 1/3 of the time and the middle one 2/3 or the time
Phoenix always ends up with the worst pick.