You do need to take your car in. I got around to doing this last week. I went in and they ordered the new EVSE. It only took a couple of days for them to call and tell me the parts were in. Apparently in addition to the EVSE they replace the foam "organizer" for the new cord which conveniently didn't fit my tire pump. On the old EVSE they cut the cords in 4 places so it cannot be reused and send the pieces back to ford so they get credit for the new EVSE. So for me it only took about 5-10 minutes of waiting for them to do this. If your EVSE part number ends in "AF" or earlier (a letter alphabetically before "F") this recall applies. if your EVSE part number ends after "AF" (ie "AG" "AH" etc..) it does not apply to you.
I thought I saw it on here but maybe it was elsewhere I read about who makes the replacements and that they are 240V capable. I can't seem to find it now if anyone has any links or info I'd greatly appreciate it.