I have three emergency funds for investments and always try to invest consistently but if I ever have a financial crisis I use my emergency fund for investments. But if I spend money from the emergency fund, I try to replenish that fund very quickly later because it keeps me more focused on my investments.
I think you got it wrong when you're using the term of emergency funds and investments. Emergency funds are there for any unexpected expenses that you're going to use.
While for investment, you have it planned and that's why you're going to use money there for exactly that will be there.
If you're in a financial crisis, that's when you'll be using your emergency funds but it's not just limited to that use. It's just so happen that I think that I understood it differently based on what you've said.
And you're doing the right thing of replenishing it once used.