Yes, it will. If someone isn't paying attention then they will T-bone you when they drive a car without automatic braking and will not when they drive a car with automatic braking.
Meanwhile, any driver worth his salt should be checking cross traffic when nearing any intersection. I've avoided several accidents by examining potential cross traffic at intersections.
Accident avoidance should be drivers ed 101, but for some reason, especially in these conversations, no one seems to know how to look for and avoid potential accidents.
Although, I'm dubious there would be enough time in that scenario to help much. The typical case is someone running a red light and intersecting a car from the other direction, both going full speed. By the time the tbonee car enters the field of the tboner car front sensors they are very close and less than a second from impact. So it'd reduce speed a bit which is good, but won't prevent the hit.
An attentive driver on the other hand, can see far wider than the sensors and has more opportunity to avoid the incident entirely. If paying attention, of course.
There are arguments to be made both ways, but there definitely isn't a clear solution.