Something on the order of " We do not guarantee the certified trainers are not involved in civil or criminal actions in court ".
If you claim to background check , then you better do it. Google works wonders really. Not that hard, COTH posters do it all the time...
However a "newbie" may reasonably be expected to believe that a "USHJA Certified Trainer" is ENDORSED by the the USHJA, or, at LEAST, has not been involved in (and lost) civil or criminal proceedings against them regarding their horse business/activities , or has outstanding judgements and/or past suspensions by the governing bodies of the sport.
They have been "background checked" after all..