Dont think so. When I first joined and signed up for a league, there was a race live at that exact same time, so I clicked the live button obviously and watched the race a bit....later I found out I wasted one of my trial runs and I wasn't even racing lmao.
You can load the same race as many times as you like. The trial system only tracks which race ID you have chosen to use a trial on, and that entire event counts as one trial, no matter how many times it is loaded.