I think the key point is the fact that you started with an investment of $1100. If you had 4750 laying around why didn't you buy in with that in the first place?
Gains are gains. Sure, you lose some (or most) to taxes, but you are still in profit. That's why you owe taxes in the first place.
My goal is to increase my BTC holdings from my initial $1100 investment. In my example, I would now be holding 20 BTC from $1100 invested.
If I sell 10 BTC @ $1000, and buy back at $900, effectively I would have fewer BTC than before, because: I have to pay $4750 in taxes, which leaves me $5250, which only buys back about 5.83BTC @ $900 so I would have reduced my holdings from 20 BTC to 15.83 BTC.
My point is, for me to gain BTC holdings, I would *have* to buy back at a percentage drop about equal to my tax rate just to break even. So I was curious whether there are others who also factor this in, and how that affects their decision to sell and buy back in when it's much lower.