If there was a gear problem prior to the start of the first approach ATC would have been informed and the aircraft would have held while the cabin was secured for a full emergency landing. Survivors make no mention of any such alarming preparations. There is the mention of the words 'comfortable now' on the R/T suggesting to me they were previously too fast or high but now happy. You also hear the CRC ringing over the R/T suggesting the gear is not down below 700' RA... It's loud and you can't possibly miss it unless your SA is so maxed out trying to slow down for landing. The survivor reported that the first sign of anything wrong was when he saw sparks & flames on touchdown.
Landing on the engines is quite survivable but guess what?.... the engines are written off as a result. So lets just slide down the runway a little and then apply TOGA thrust and see how long those donkeys last. Apparently not very long. By the time they got downwind the RAT was out indicating AC BUS 1+2 offline which rather suggests a double engine failure. Had they carried on downwind there was some open space straight ahead to put the aircraft down rather more tidily than they did. If you look at the crash position it was close abeam the downwind end of the runway (remember 40secs +/- the wind) with absolutely zero chance of making a turn onto the runway axis with all engines.... let alone no engines. However, if their SA was so low that they went around having not noticed the gear was up, having scraped the runway with both engines, it seems unlikely they would have the SA to carry out a dead-stick landing to anywhere from downwind.
I read that the aircraft had not flown for 60 days. There is no suggestion yet the aircraft was unserviceable but how about the crew?.... I wonder what their Covid-19 Recency practice was like?