I think the best empirical paper about the effect of sex offender registries is this one: https://repository.law.umich.edu/cgi/viewcontent.cgi?article=1079&context=articles. It uses state-time variation in two related policies, sex offender registration and sex offender notification. For the purposes of this discussion, registration is like a record kept by the USEF and notification is closer to posting videos online (though it really involves sending letters to neighbors about the presence of someone convicted of certain sex offenses in the neighborhood).
The paper finds that registration decreases crime by subjecting convicted sex offenders to higher scrutiny and monitoring by the authorities. Notification also reduces future sex crime, with different effects on the behavior of potential new offenders vs. the people actually registered and the subjects of notification. The authors write, “We also find that the implementation of a notification law, regardless of the number of registered offenders, is associated with a reduction in the frequency of sex offenses. One potential explanation for this effect, also consistent with our model, is that notification deters potential (nonregistered) offenders by increasing the punishment for committing a sex crime.” However, notification appears to increase future crime by previous offenders (by less than crime by others is deterred), and there are non-linear effects (the benefits of notification are smaller as registries become larger) and potential negative externalities (for example, a decline in housing values in neighborhoods where registered offenders live, which affect the assets of people not involved in the sex offense). I do not think that the negative externalities apply to sharing videos of people treating horses harshly or abusively, so some of the policy recommendations or cautions in the paper about sex offender registries may not be relevant.
I don’t think that the comparison to sex offenders is necessarily the correct one, but since you made it, there’s the (mixed) evidence.