Assuming you have a fixed rate mortgage at a low interest rate, not only will the value of your debt be inflated away, but you retain optionality. Meaning you can use that big chunk of money as a hedge against a job loss or other negative event, you can use it to invest as your see opportunities, etc.
Of course the flip side of this argument is if you do pay off the mortgage, you get a guaranteed rate of return equal to your mortgage interest rate.
Sure, buying real estate is seen as an investment, but it's also a spot to live and to keep all stuff to help or hedge your enjoyment of life.
Some people just want to live, debt free, and be left alone.
If I ever have to leave my doomed home with only what I can carry, I'd rather owe as much as possible at that point in time. I think that debt owed to human beings is strictly better than the same amount of equity just vaporized with no possible recourse.
Let's say you owe 100000 EUR for a 200000 EUR house, pay 2% interest, inflation rate of 10%. Your net worth is 100000 EUR in the first year.
If you repay 8000 EUR, the next year you owe 92000+2%*92000=93840 EUR and your net worth is 220000-93840= 126160 EUR.
If you repay 4000 EUR and invest 4000 EUR in gold, next year you owe 100000-4000+2%*96000=97920 EUR, your gold is worth 4400 EUR after inflation and your net worth 220000-97920+4400=126480 EUR. Plus you have improved liquidity.
If the inflation rate is higher than the interest of your loan, it's often better to invest in inflation-proof assets.