That power adaptor was just an example, but yes, with that type you would cut off the small low voltage plug and wire direct to the Fibaro.
You need to match the driver to the total load and voltage of the LED strips.
Certainly don’t run 18m in one line, would definitely fade… only way to know for sure with 2x9m would be to physically test before final installation, and divide into smaller runs if necessary (you can always run extension wires alongside the strips, rather than pushing everything through adjacent strips). Some strips are better than others and it’s never a good idea to pick the cheapest option from Amazon. I have 2x8m running just fine, but’s it’s the good quality stuff.
For a total of 18m you will need to up-rate the gauge of the main wires from the Fibaro before splitting out to multiple strips, and do not exceed the rated wattage for the Fibaro (144W @ 12v / 288W @ 24v).
If in doubt, use an electrician to specify wire sizing, based on the load, voltage, power factor and length of run.