Sure this is a reasonable way to trade. And it is "arbitrage", but it is important to note that even things that are called arbitrage in the literature, are stat arb, not pure arb.
You have to remember the two reasons people are attracted by relative value trading, which is a kind of "arbitrage" [or is the other way around?]
1) There is a natural built in cointegration of the legs so powerful statistical analysis can be done without fooling yourself.
2) There is a built in reduction of risk so that repeated application of sized bets can be attempted without risk of ruin, thereby providing real income so that trading becomes like a business instead of some spectrum of gambling.
It is 2 that is hard because if it is truly an arb, you are competing with very sophisticated players in the same space. If the tier 1 players aren't there, then the "arb" is risky.
Retail traders gamble. Institutions run a business by reducing gambling to its theoretical minimum.
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