I was just in a race where I and the faction leader just below me in the standings had no chance of finishing our race even in 6th place, so I went after him to put him out of action...permanently.

With a full lap to go and crawling along beside each other we lashed at one other, crashed into each other, dropped opposing horses, it was a brutal affair. But finally lashing him within an inch of his life, I took out one of his wheels and he immediately splattered on the track. Satisfied that I had eliminated my closest rival, the end race results screen came up. But no mention of my opponents demise.....uh oh! I return to my stables to get ready for the next race and who shows up on the starting line? The same dead rival I had sent to Mount Olympus in the last race! He was even still listed, with all his first place victories, just under me in the standings after the race in which he died.
I paid special attention to this because in several earlier races I thought I had seen injured drivers who shouldn't have been able to be in the next race, actually participating in the very next race after being sometimes very wounded. Something doesn't seem quite right with all that, but it could be something I'm missing out on or overlooking too. I saved and left the game there, would it help to send a file to someone for inspection maybe?