If you consider that "you don't know any better" and returns are normally distributed (i.e. you don't have some secret sauce nobody else knows about), then there is no dimension in which the 10/10 is better.
You can convince yourself intuitively by imagining how you would maximize each strategy. The amount of money you have is a factor of the risk you take, because if you want to do something risky you will not be able to borrow much, whereas if you want to do something safe you can easily borrow.
That is, you objective is to maximize your expected return, under the constraint of not breaking your risk limit.
Suppose you have a 10% annualized volatility risk tolerance. That's your budget.
If you invest it all in a 10% average return / 10% annual vol strategy, that's it.
Now if I propose you a 5% average return / 1% volatility strategy, you just have to go to the bank and borrow 10x your capital. You will have the same risk exposure (in dollar), but 5x the expected returns.