I've been using Eco-Idle since I bought my car. The delay is negligible for automatic transmission. If you say the delay can cause accident, that means your judgement of safety to cross the junction is off. Those who have the mindset of "sempat lagi ni", will have this risk. If you are a defensive driver and always make sure the road is clear to cross, you won't have this issue to worry about.
Eco-Idle help to save fuel. TS want to turn it off.

My 1st battery change for my peugeot was less than 2 years after bought new. Since then I switched off the auto engine start/stop everytime I started the car.

AGM batteries are fricking expensive

It is advertised as a fuel saving feature.