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vklidu
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Since Blender 2.91, you can boolean with manifold objects like a Plane.
There are two methods now. The Exact method should solve your issue.

old 2.9x Fast (2.8 method) enter image description here

new 2.9x Exact enter image description here

It is cut out in inside normal direction (red color when Face Orientation overlay enabled).

enter image description here


If you still need to work in 2.8 you would have to use Solidify modifier or other tech to create non-manifold object as you mentioned.

vklidu
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