Ah, I see what you were going for there. That is sort of the gold mine / oil well situation too. If you price the activity in the asset, you normalize the result to the asset and are left unitless :-). But since the asset value flows with respect to another measure (in this case dollars) you can profitably arbitrage (in terms of dollars) using btc as a proxy. Just like you can with gold or oil.

Seems like a kind of useless way to look at it though since the goal here seems to be dollars, not btc. So what insight do you gain by evaluating it this way?