As an example, someone has 100 bitcoins. If he wants to keep his percentage of the network equal, he has to buy 0.027% of his stake per day. That equals to 0.027 bitcoins per day.
If you would buy all of the 3600 coins, ofcourse your percentage would rise much higher. But i am talking about the percentage of your current holdings compared to the overall network.
Please, think again about the numbers. You missed the point.
edit: at one point in time i will reach with my 10$ buys per day an equilibrium with my current holdings. After that point, i have to steadily increase my buys per 0.027% per day until the next halving. Regarding the price doesn't change.
With that being said it would still really not be possible for you to become a whale because you would eventually get to own too much bitcoin for $10 to make a big difference of your total holdings anymore.
Wex "would not become a whale" because he's only maintaining his current share of the network and he's implying that his current share would not make him a whale. He's only talking about what percentage he needs to buy daily to maintain his percentage of all BTC available. If he or you are defining whale in terms of number of BTC or dollars worth owned, then percentage of the network doesn't matter.