The strongest direct evidence is the discovered Politico article titled "Oil industry pleads its Hormuz case with White House - POLITICO," whose search snippet says oil executives opposed Iran charging ships passing through the Strait of Hormuz and were making that case to the White House. That substantially aligns with the statement that, according to Politico, oil industry executives were pressing the Trump administration not to accept an arrangement allowing Iran to charge transit fees. Independent corroboration from "What the Iranian war ceasefire means for global trade… and whether it’ll last" and "US-Iran ceasefire deal: What are the terms, and what’s next?" shows that an Iranian toll/payment concept for Hormuz transit was indeed being discussed in connection with the ceasefire negotiations. However, because the Politico article itself could not be fetched in this run and the X post also could not be directly validated, confidence is medium rather than high.