Therefore, in a deflationary economy, we lose out on all investments estimated to pay back 0%-3%, after calculating for risk. This results in a smaller, less productive economy.
No, it's the complete opposite. The point of interest rates according to austrians is not only to allocate resources to profitable investments, but to the
most profitable investments.
The reason interest rates (and loans) even arise in an economy is becuase different people have different abilities and different opportunities for profits.
Lets say you and I are working in different sectors of the economy and earn different rates of returns on our invested capital. You make 5% returns on your investment and I make a 3% return. Rather than to keep this status quo we would both be better of if I simply lent you money for an interest rate between 3-5%. The interest rate would reasonably be in the 4% range.
From my perspective, my original investment is not actually a profit, it's an opportunity cost, and the same applies to the society as a whole. I'm allocating my resources in a suboptimal way and unless I can reallocate them to compete with you, the optimal thing to do is to simply hand them over to you (or your competitor).
If I lend you the money, then you can expand your output, which will drive down the price of the goods you produce and lower your profit margin. At the same time the output of the goods I was producing will decrease, which will raise the price for my competitors and their profit margin. The end result will be that the profit of both your and mine sector of the economy will get closer and closer to the interest rate i.e. 4%.
Banking according to austrian theory is simply an arbitrage business. They solve the case where lender and borrower of funds don't know each other. They give me the opportunity to lend you funds even though I don't know you so I can stop hogging resources that I employ in a suboptimal way. The rate of return where all investments even out is what austrians refer to as the "natural rate of interest". No investments below this should take place in an optimal economy (and though we never reach this point we should strive to get as close as possible).
Main point is, resources are limited. All value improvements cannot take place at the same time. This means that resources cannot simply be allocated to all profitable investments, but rather need to be rationed to only the most profitable investments. The purpose of the interest rate is to solve this rationing process as good as possible.