It is possible the PNF was getting out the UAS checklist while the PF was pulling up because of fear of being too fast if the overspeed was going off. Every jet I flew had an UAS checklist to fly with inop airspeed indicators. It seems he would have monitored what the PF was doing while he was getting it though. Just read an article in a pro pilot magazine about knowing how to fly with no operable air speed indicators. Seems like some of the corporate pilots have a higher understanding than airline pilots how to deal with their planes when they develop a problem. The last jets I flew with AOA indicators were corporate aircraft decades ago.