I might just try that.. It should be possible to get this old macbook running smoothly. I hope
SO I tried normal zorin with xfce, it made in my opinion a great deal better to use normal zorin and better looking. but did not help with the cpu, I even tried Chromeos Flex, from what I read should be fully compatible with all mac's from 2009 and onward. but that was also chugging along.. SO I guess what's left is me, buing the security skrewdrivers for the macbook and opening it up to see, it it's completly dusted in the fan, - it should'nt be sinze the original MacOs just flew right through everything 
I have seen some videoes and posts from these last two months of ther youtubers who but ubunto and mint on these, extact same model as my 13inch MBA 2011 - so maby I can also try them out
Beside these, maybe a Lightweight Distro like miniOS would be an Option.
duuude I have not found this one yet.. I have found and tried, not on this macbook, but an old Acer aspire One ZA3. slax, tinycore, anti, but not mini.. I gotta, try mini and the macbook
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I hope you have more luck than I. Yesterday I tested Mini OS in a live session and my fans were permanently running, never stopping. I can't use it with my old nvidia card. It's a shame that so many lightweight, purely Debian-based distributions don't work for me.