The most interesting part is that Iconomi keeps growing its funds due to the BTC rise and next week when LSK pumps it will go even higher. Fun times ahead on all fronts here

It would be interesting if they promised to pay dividends in USD.
Otherwise it all depends on BTC/ETH price, and the prices of other cryptos they (will) own.
No it doesn't. You can convert your ETH dividends to any currency, crypto or fiat immediately.
I don't see any problem here.
Yes, I can do it, but Iconomi must buy ETH to pay dividends.
If they have 1 BTC now and ETH is for 0.012 then they can buy 83.33(3) ETH, but if ETH will be 0.013 in a month then with the same 1 BTC they will have 76,92 ETH.
If that 1 BTC worth of ETH was used to pay dividends then with lower ETH prices ICN holders would receive more ETH.