As some have said, the whole 02/20 thing is contributory, at best. From the ATC recording, it's the aircraft who first deviates from what they were cleared (abnormal path, prompting ATC to ask if they are flying to RWY20). The altitude plot is quite surprising; climbing to over 6000ft, not too stable an altitude (apparently not maintaining traffic pattern altitude). Could there be a case of reporting VFR but not actually being that VMC? It's weird a tower ATCO asks if they are in VMC, particularly at a predominantly VFR airport, based on what some have said here. I recall the metar said VCTS, could it be that some clouds were interfering and they just reported VMC when asked so they could land?
Moreover, I'd like to know why the switch in pilot in comms. Did they switch roles? Had the Capt taken over both PF/comm duties? Who was flying the plane?