I'm wondering, high scores and time trails are generally well supported by the games that have them. However it seems that very few games natively support speedrunning as most games don't keep a record on how quick you've beaten a game and compare it to previous times.

So why does it seem speedrunning is more popular than getting a high score any game with score, time trails in racing games or other such performance metric? And what makes a game good to speedrun?

Based purely on how well a game supports comparing performance metrics I would expect racing games, shmups and other arcade games would be far more popular to compare performance on, yet this doesn't seem to be the case.