LED's have a higher resistance. Sort of.
LED's don't really have a resistance, as a diode is not really a load. I'm no electrical engineer, so it's not something I know much about. The 'light emitting' part has to consume some voltage, but as it's actual light energy being produced and not just heat that is visible because of a glowing filament (I guess that would be electricity>heat>light), it's...different. That's about as good as I can do.
But as far as those 'LED bulbs'- they're not a bulb, but are their own circuit with LED's included, and they must have resistors in the assembly. The resistance has to be higher than a standard bulb, or they would not be more energy-efficient. Voltage is a constant (when comparing LED assemblies and incandescent bulbs, that is), so if the resistance was less, it would have more current flow and therefore a higher overall wattage. Ohm's law and whatnot.
IIRC, LED's typically only use a couple volts. So the rest of your ~12-14v input must be burned off as heat by the resistors.
The lights blink differently because the total resistance of the circuit has changed. Same as if a light went out- the bulbs have to be in parallel to get a full 12v, and parallel circuits decrease resistance. Put an open in one leg, and the resistance goes up.
On older cars, this affected the frequency (possible bad terminology there) of the 'flasher' unit, which is effectively another resistor. As it heats up, contacts open, then it cools down and they close...repeat ad infinitum. Until it goes bad, at least.
On newer cars, a BCM drives the lights with a transistor. I believe the fast blink is on purpose to let you know that a light is out, but it happens for essentially the same reason- the resistance of the circuit goes up (which the BCM sees).
I think that's all right. Someone else can feel free to correct anything I got wrong.