In my experience it isn't usually the cooler that has automatic fan speed control*, it's the bios that does it. Sounds like yours does. You just need to ensure the cooler you buy has the same number of wires and the same connector as your existing one. (The Ebuyer one you link to says it has a 4 pin molex connector presumably for power, but doesn't mention the motherboard connector / wiring which I assume it must have.)
*Having said that, I have an Akasa cooler in my old Athlon XP which has the option of controlling speed manually via a little knob at the back of the pc, or automatically via a temperature sensor you're meant to poke into the fins of the cooler.