They show one URL in one installer script with an obsproject.com domain and conclude, from the presence of that URL alone, that the entire project is a whole cloth copy of OBS.
That URL is nothing but a 302 redirect to the directx runtime at https://www.microsoft.com/en-us/Download/confirmation.aspx?i...
The linked tweet tells us nothing except that TikTok is essentially using obsproject.com's web server as a URL shortener.