Thanks for sharing the example with me in a private message.
I’ve reproduced the workaround proposed by @lpb and you will see that it is quite similar to a Google Form export.
For reference, here is the Google form example that you shared with me (I hope that is fine I share it, as it looks like dummy data).
And this is what I obtain after exporting a csv from the Asana project where I’ve recreated the form you shared.
This is how you can do it (again, same solution as @lpb , with some details, to make my point 
)
1) Add custom fields in your projects representing the multi-select questions & answers
2) Create your forms with questions and connect them to the previously created custom fields
3) To fit your example, in the form settings, I would advise naming the tasks with the responder’s name
4) Collect answers
5) Export the project csv
6) Delete the few columns that you don’t need
7) Profit
Hope it’s useful