A stable price of $5000 would be great
Don't count on Bitcoin having price stability at $5,000, or any other amount measured in fiat.
But apparently we can't deny the fact that bitcoin cannot be valued as 1btc=1btc because most of the people are accustomed of seeing some prices in $$.
We have to for a long time, likely forever, you need to buy btc with something, and other currency's is how you do it.
But in the current times? I think it's a no. Unless we get some massive adoption then we can safely say that 1btc=1btc and we can price things with btc.