"Hero" can be used to describe a theme on journey. To be a hero, one must embark on the Hero's journey. Along these lines can one trail the parallel.
Odysseus left troy to journey home when the 'call to adventure' was the Gods blowing him and his crew off course. It then became Odysseus mission to return home, his hero's quest.
The thing is, I would personally compare Indy, not to Odysseus, but to Odysseus son, Telemachus.
Penelope was stuck home with a house full of suitors, who cammand the servants and drink Odysseus wine, and beat up Telemachus. After missing his father for the full 20 years of his life, Telemachus sets out to hire a ship and seek out Odysseus. He makes a deal with the suitors that should he find Odysseus, the suitors must leave his home. Otherwise Penelope must finally pick a suitor to wed.
And so Telemachus sets off on a quest to find his father.
ATONEMENT with the father is common to all stories and is the heart of conflict in most, even though it may not be referred to directly.
Luke/Vader
Indy/Henry
Telemachus/Odysseus
In this case, not only is Indy the father but also the son. He is the father seeking 'home' when he is Indy seeking treasure. And he is son seeking father when he is professor and teacher.