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While this may be an option in some cases, this wouldn't be an open source project.

open source means the source is.. open. It does not mean the source is necessary free. These two points are not in conflict.

That is not how we define open source. See:

Openness is much more than “source available”. Open for use by others is an important part of that.

That's not how I've decided to define open source. Looking forward to seeing that page updated!

"unlicensed open source" exists, however -- it is a real thing, referred to as open source, despite that it cannot be used legally.

do you mean to say it wouldn't be libre software, due to the commercial use restriction?

Yes