I don't understand. When you're making millions on the sale of the property, how is 100k in stamp duty a problem? It's on the same order as your agent's commission!
The problem is that you're going to have to pay 30% company tax on profits, and it's hard to get a mortgage. However this can always be structured so there aren't any profits (e.g. by improving the house, saving up for another house, ...)
The point of this construction is to never sell the house, so that might be avoided here as well.
It's a tax on moving.
If you want to leave your 4 bedroom, 1 million dollar property and buy a 2 bedroom, 1 million dollar apartment, you have to forego 100k just to do this? Obviously most people choose to not move. They'd rather the money goes tax free to their kids, or to just borrow against the house and spend the money.
It's a strange attitude to suggest that paying $100k to the government is 'not a problem' just because your house is worth more. If you were in the same position I think your attitude would change somewhat.