No assets does not work so well. Ultimately what scares people is that what they have worked for gets eroded, it is also difficult to value the asset.
I went to a green party conference a few years ago before I got fed up with the conferences themselves and then the party. They had a talk from some people advocating a land tax. Some famous woman (actress of days gone by) was fronting their plan which frankly is all they had that the public could relate to. They argued that the only tax you should pay is on the land you own. This however is unworkable unless we all have the same land use. They were very stubborn and the answer to any question about how this could work was literally "I have 3 degrees so I know better than you, just believe me this is the only way...." Land is an asset. Even if you want to value it based on a use category (residential, farming, industrial, etc) it is still very difficult to tax in proportion to the income the land brings or the value that it has. You could be on "industrial" land manufacturing products, depending on what the products are they could have very different sales values despite requiring the same land/asset to produce. This immediately penalizes some businesses. You could be a business that just say writes programmes and needs very little space and work from home. Even if you classified the residential or part of it as commercial you could still be making a much higher income per sqm than another commercial land occupier. It just does not add up.
i see similar issues with assets. How do you value them? There will be dis-proportionality in a businesses revenue versus it's tax bill compared to other companies paying the same.
Also why should I work all my life to buy a house (because renting costs even more than a mortgage since the financial crash), to then retire and have to pay tax on it when it is where I live. VAT is kind of an asset tax as you are taxed on what you purchase not what you earn. There has been a lot of talk about the economy in this crisis, and yes keeping small businesses alive means that they will pay tax that will repay the debts run up from what the government has spent. But corporations, the really big ones wriggle out of so much tax that the only tax they really pay is VAT, the only sure way to stop loopholes and dodging is to tax the money when it changes hands. Other taxes may also be required but I see the income and corporation tax system as broken. And I say this as a small business owner who would be paying more tax under such a system than I do now but it would be a ubiquitous system that my competitors would have to contend with too so I am not put at a disadvantage like i am now as I don't play loop-hole games.