"This LED 24 bulb replaces a variety of traditional bulbs including 24, 2040 and 936 bulbs"
Not a wide range if you ask me, but hopefully the bulbs you are replacing are one of the above listed by the manufacturer. These are the instrument cluster bulbs you are replacing? It comes down to the contacts and if they are compatible or not. You said something about the LEDS having wires on left and right. Does that mean it has an additional contact that the original bulbs do not? Running lights should be mono filament and contain one circuit to power them. Id suspect the connections between the LED and the housings are incompatible. I have not gone into my instrument cluster yet but on my Nova, I have been in the cluster way more than I would like to admit. And at one point, I ran some custom connections because the wire traces were eroded. I would rig up some alligator clips with wires connected to them and clip the contacts of the bulbs with the contacts in the cluster housing to "force" connections to diagnose. Alligator clips are great because you can unclip them and connect the circuits in a different configuration easily. sure not to damage the contacts on the bulbs, they are generally malleable. Also, I sometimes will bend the contacts back and fold them onto themselves about 3-4 millimeters at the ends just to make the contact surface "larger" to ensure it contacts in the housings.