Something in the back of my mind told me it was trialed a few years ago in an automated fashion and was decided to be a failure?
It was trialled by the ICC and determined to be cost ineffective (ie - you dont get a significant enough improvement in calling accuracy to justify the cost of a person to make the calls). There's an article about it somewhere on the web that I've linked to on the forums before
The BCCI were going to trial it as HB stated. IIRC the ICC were going to trial it again too at the Women's T20 WC Qualifiers later this year, which have been postponed as well. Not sure what has changed between the last trials and the current ones tbh.
One of he problem's they had was that, as per the Laws of the game, a no-ball needs to be signalled twice. Once as soon as it occurs and once after the ball is dead. This cannot be done if the authority to make the call is taken away from the onfield umpire. There was debate if having no-ball signalled only after the ball was dead would significantly effect the game or not.
From what I was told, the ICC had reassured umpires that they did not have to worry too much about the front foot for really quick bowlers, since its ridiculously difficult to move your eyes up in time to clearly catch the action. Once a lot (relatively speaking) of wickets were being overturned, they had umpires return to watching for no-balls. I don't know exactly when this kicked in, haven't seen stats on accuracy of no-ball calling since the change.
There is also the concern of Associate teams playing under quite different conditions depending on opponent. If Netherlands, for example, play ODI Super League games, they will have to adapt to having DRS available, which they wouldn't have when playing other games like the WT20 Qualifiers. If off-field no-ball calling becomes a thing, it will be another one of those things that is only available in matches for the largest teams, but not the tier below.
I dont remember if the proposed trials will have the third umpire calling no-balls, or another person dedicated to this.