In parallel they would each get 1A which would put them right @ 20W each?
Do I need to put these on aluminum channels at this wattage or can I screw them straight to the (wood) roof of the cabinet
Yes. 20w each with that driver.
If you run into stock issues,
There's a search engine called Octopart. Punch in the driver model number = LPF-40D-20.
I've run BXEB Gen2 560mm strips at 1000ma without heatsinks for quite awhile now.
I've never screwed them straight into anything though, my personal preference is always to have an opportunity for airflow when running them naked.
I also, cannot attest to what effect this may have on the longevity. I do know the voltage drop is within what I consider safe, at full operating temps.