The Short Version
The claim that "thousands" of TikTok and Instagram videos promoting Jenni AI failed to disclose paid partnerships is not supported by available evidence. While Jenni AI did operate an affiliate/micro-influencer program, and one blogger noted suspected undisclosed affiliate links in "many" reviews, no audit, dataset, enforcement action, or quantitative analysis confirms non-disclosure at the scale of "thousands" of videos. The leap from anecdotal observations to a specific large-scale claim is unsupported speculation.