A Question About the Opening Sequence of Raiders of the Lost Ark

The opening sequence of Raiders of the Lost Ark is one of the most iconic in movie history. From a filmmaking standpoint, everything is done right: we are given an awesome introduction to the lead character, Spielberg's direction establishes an atmosphere of adventure and mystery, and the action scenes hold you on the edge of your seat. However, some people have used this sequence to paint the character of Indiana Jones in a negative light. Specifically, some argue that Indy is a "grave robber" who is stealing an important cultural artifact from the Hovitos tribe.

When I first saw Raiders, my impression was that the temple had been abandoned for a long time and that the Golden Idol was an obscure, ancient artifact. I also thought that both Belloq and Indy were in competition for the Idol, with Belloq taking advantage of the Hovitos to steal the Idol for himself whereas Indy was trying to retrieve it for archeological purposes. While it's obvious that the Hovitos venerate the Idol, it's not clear whether anyone actually "owns" it anymore. If the Hovitos do own the Idol, then that indeed makes Indy look pretty bad. However, this article from the Indiana Jones Wiki doesn't indicate that the Hovitos (or anybody in particular) owned the idol: https://indianajones.fandom.com/wiki/Chachapoyan\_Fertility\_Idol.

There's a couple lines of dialogue where Indy says, "Too bad the Hovitos don't know you the way I do Belloq." To which Belloq responds, "Yes, too bad. You could warn them...if only you spoke Hovitos." To me this implies that Indy wasn't intending to "steal" the object from the Hovitos, whereas Belloq deceived them into thinking he would get them the Idol. Maybe I am taking this plot point too seriously but it's a common criticism of Indy that he is a grave robber who disrespects other cultures. Is this a fair criticism of Raiders' opening scene?