It would work, but why would you want to use that one? It has no control panel, so you'd need to find and install a switch somehow. It has the useless three-speed switch which requires another switch (3 position), and they don't tell you the size, so you could end up with another one that doesn't fit.24/36/48V 350W E-bike Scooter DC Motor Brushless Speed Controller With/PAS UK | eBay
Matching motor: brushless motor. WITH PAS- Pedal Assist Sensor. Colour: Silver. Heat dissipation: natural cooling. NOT fit brushed motor. Material: Aluminum. Ambient temperature: -20 degrees to 50 degrees.www.ebay.co.uk
Yes, but it says it's only 13A, so 87% of the power of your original. You can get more power by adding a bit of solder to the shunt inside of it. the shunt is a piece of metal that looks like a staple. If you solder 10% of its length, you get 10% more power. Normally, just soldering up one leg is about right. That's if you need the power. Another thing is that it'll be unrestricted, so might be illegal, depending on your motor's max speed.
