Err, no. Building up equity is not the same as appreciation. It's basically a savings plan. This assumes that the property values remain sane and rational, not that they will constantly grow.
If the house appreciates then you get that money at sale no matter how long you've paid into it or how much equity you have.
If the house appreciates then you get that money at sale no matter how long you've paid into it or how much equity you have.