In order to really answer your question, we'd need to attach some numbers to the problem, since it's all a matter of which is cheaper.
However, every time I try, I find the concept of "unimproved value of the land" coming apart in my hands. There's really no way to separate the value of the item on the land from what is on the land. Oh, we do talk about lot values, but that's ultimately an abstraction that once it actually started to matter would be subject to gaming and interpretation.
It isn't really meaningful to talk about the economic value of something that doesn't exist. You can only determine the value of something by seeing what people will actually give up to obtain the item. When you ask about something that doesn't exist, you are asking people to estimate what they might be willing to give up if the thing actually existed, and people are notoriously bad at that.
(Note that the failure is ultimately human, not economic; a being that was more rational about being able to hypothesize what they would give up might not have this problem, but we have to go to government with the beings we have, not the beings we wish we had. This metric would start game-able and get worse.)
So I guess my answer is I can't seem to wrap my head around what's actually being proposed enough to elaborate on what my point was meaningfully. Consider this a strike against this summary of the proposal. (Whether it applies to the original I don't know, and I don't care enough to go check.)
(... actually, if you want to get really meta, the problem is that even if you waved a magic wand and had this implemented, Congress would still have it mangled inside two years flat. Congress is the real problem here, or government, or special interests, etc. The tax system is more effect than cause.)