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How is not paying off mortgage better in normal circumstances?
In some respects the analysis for this question is similar to comparing a "safe" return on a government bond vs. holding the stock market. Typically, the stock market's expected return will be higher -- i.e., there's a positive equity risk premium -- vs. a government bond (assuming it's held to maturity). There's no guarantee that the stock market will outperform, although the probability of outperformance rises (some analysts argue) the longer the holding period for equities beyond, say, 10 years. That's why there's generally a positive equity risk premium, otherwise no one (or relatively few investors) would hold equities.