I don't think Bill will invest in Bitcoin, or at least publicly. Im convinced he owns some, not a serious stack (by his standards), but im sure he owns quite a bit compared to all of us. Hell Microsoft accepts Bitcoin, and he has talked positively about it, so im sure he got some. But making it public? Not sure if it would benefit him. Bitcoin has some anarcho-capitalist like features that he doesn't enjoy.
I agree with you because I also think he owns bitcoins and is funding bitcoin research and development or at least exploring ways to use bitcoin. But he simply can't accumulate 1 million bitcoins or anywhere near it without sending the price skyrocketing. The more he buys, the harder it gets to buy. Satoshi has a giant headstart and it's only going to get harder and harder to catch up to him no matter how rich you are.
he could in theory buy 2k btc per day, in 1.5 years he would reach one million, basically he should equate the dumping from the miners, the price will rise if he do that because the demand and supply is well balanced now
but if he can divide his buying in multiple small one, let's say 200 btc every hours, for 10 hours a day, the price should not jump by much
he can match satoshi in this way, but he need to move nnow that coins are cheap
Yes Bill, if you're reading this, then you need to get started now. Buy 3600 coins per day. Miners are dumping for cheap. Next year, there will only be 1800 per day.