Hamilton and Vettel, far and away the grid's two most successful drivers, were at the centre of another major controversy in Sunday's Canadian GP when the Ferrari was handed a time penalty for forcing the Mercedes off the track as they battled for the lead.
The sanction dropped a livid Vettel behind Hamilton in the final classification and triggered some extraordinary post-race scenes from the Ferrari driver.
But while Vettel expressed his anger with the decision, there was no animosity among the drivers: with Hamilton shepherding the German on to the top step of the podium with him, before Vettel stepped in to say the crowd should not boo the world champion.
"We've had a lot of years racing together and there's probably no one that I enjoy racing with on the track more than him," said Hamilton, whose F1 career began in 2007 like Vettel's.
Hamilton's comments came in direct response to Vettel's passionate and lengthy explanation in the post-race press conference about why he does not like certain aspects of modern Formula 1.