I don’t think the cost of fuel is the primary factor in travel decisions… it is almost always the cheapest option regardless. People are more interested in time and convenience, both of which become drastically less favorable the longer you have to drive.
If you search "survey would you travel more if gas was cheaper?" in google you get an AI summary saying "Yes, lower gas prices would likely lead to increased travel for many people. Surveys consistently show that the cost of gasoline is a significant factor in travel decisions, with many indicating they would travel more if gas were cheaper. "