> This is unrelated to the OP because Honda exclusively supply engines and do not have a works Grand Prix team.

Honda had a works team and pulled out at the end of 2008. They sold the team to Brawn which won the 2009 title with a low budget by exploiting a loophole in the rules. The other teams couldn't catch up soon enough. Brawn had no money left and sold to Mercedes. Red Bull won the next four titles and Mercedes all the other titles up to now.