If you're only thinking in terms of using money for 'saving' and leaving it in savings accounts etc. then yes, it probably makes little difference overall.
Someone with the time and inclination to go and do things with that money, such as the property example, could easily outstrip the interest incurred on a mortgage with the earnings.
Yes you can always take risk with money. I could also gamble the 100k and buy a mansion tomorrow.
I'm talking about sound, near guaranteed future wealth.