I think it would be very helpful to update that page about licenses. The first thing that leads to confusion is that the term “license” is used as meaning “paid license”, especially in this part:
The CLI version is free for personal use so there are no personal licenses for the CLI version.
To grant free use of the CLI version for personal purposes is also a license. So it should be included in the table.
But that doesn’t address the OP question quite yet. My understanding (up go a few minutes ago) was basically that edu-folks are allowed to use personal licenses even for work purposes. Or, more correctly phrased: will get the commercial license for the price of the personal one. Since the personal CLI version is free, that would mean that the CLI version is free for use by edu-folks.
But since @gchen just said
my interpretation was obviously wrong and I woukd like to submit the following suggestion for consideration: how about you distinguish between individual edu-use and organizational edu-use? Individual students and staff can use the CLI version for free but if a university wants to systematically use duplicacy as their official backup tool, they will pay the discounted price?