Thanks for your answer.
I'm not sure I did understand what you mean with "Playing with VLC is no indication. It may be doing extra work"
Could you please explain what "an unadorned .ts file" is?
I have applications installed on my Apple TV that work great with .ts URLs.
if I can't play those Urls, is it a TVML limitation? or playing .ts urls requires other librairies, if so, which?
Thanks for taking time to look into this.