It should work fine though I haven't tried it. I use the F2 kit for my bleach and fixer needs. The problem with these kits is that there's no documentation for home use. Personally I would get the three-part/5 liter Flexicolor kit for your developer needs.
In looking at this further, be careful with the product description. This one makes it sound like the bleach and fixer is part of the package, and I'm pretty sure it's not. Check expiration dates, the colors of the chemicals, and the condition of the bottles anytime you order liquid chemicals.