I wouldn't be too critical because most importantly, they got the MOB back onboard and in a reasonable time.
I also noted that there was no command to enter the MOB on the GPS, the horsehoe PFD nor any other marker deployed. The crew was certainly large enough that they could have dropped and managed both the jib and main simultaneously; however, the captain may have wanted to deal with one task at a time to prevent someone else from going overboard.
It's hard to judge distances on the video; however, I think they got too far away from the MOB before stopping the boat. I think that a tack and quick stop would have kept the boat closer to the MOB, then drop sails, & motor. It was mentioned in the UK article, that had this incident been at night or in rougher seas, the outcome may have been different. I think it does illustrate that dropping sails and motoring certainly gives a crew more control in getting back to the MOB and stopping alongside the MOB in strong breeze conditions. No issues with not getting alongside the MOB nor sailing past the victim and having to go around again. The write up didn't mention the water temperature; however, the video clearly showed the difficulty in getting the MOB back on board once they had a line secured to her and it also showed how helpless and exhausted she was when they got her on board. Good thing that she was wearing a PFD; definitely a game changer. Good that the Captain called for MayDay and that the Coast Guard was on station quickly. Also, observed that he stayed in control and directed the crew effectively; no second guessing captain's orders by the crew. Again, any successful recovery of a MOB is a good one, regardless of inconsistencies.