Had anyone encountered this before? Is this a common practice? The scenario seems bizarre to me and I'm surprised that it's allowed.
I can think of a couple of reasons why the company might suggest this; the most obvious being that they don't need to guess how many instances your enterprise is using. Whether it makes sense to you and whether the Apache license allows for that kind of legalese is still another matter.
[PS.] you might want to add an "Ask HN:" prefix to your submission subject line