Nice google map of the KEWR runway and taxiway layout!
I am afraid I do not understand what you are asking.
straight taxiway intersections, as opposed to curved
corner taxiway intersections instead of what I assume is the standard curved
The link takes me to a picture of two runways at KEWR. The curved taxiways are high speed exits or turnoffs to be used when landing from the opposite direction. They are curved by design to allow the aircraft to exit at a slightly higher speed after landing than would be required if they were at 90 degrees to the runway. This makes more efficient use of the runway, than requiring everybody to slow down to a crawl to make the 90 degree turn. We can safely get off the runway in less time.
The paint, markings, signage and lighting all communicate information under different environmental conditions and type of airport operations conducted.
Of course the same curved taxiways are used for departing aircraft as they enter the runway prior to takeoff. Taxi speeds are slower when entering the runway (normally). They don't "need" to be curved.
Sorry for not understanding your question better. .