Well, let's do the math on that, arbitrarily picking 1974, because that's the year my wife was born:
The median home price was $35,900 in 1974:
https://www.huduser.gov/periodicals/ushmc/winter2001/histdat08.htm
The federal minimum wage was $2.00 an hour.
https://www.dol.gov/agencies/whd/minimum-wage/history
A 10% down on $35,900 was $3,590 or 1,975 hours of minimum wage work. At 40 hours a week, that means 49.375 weeks of work saving every penny. Not a reasonable action since you still have to, you know, LIVE and stuff. But that gives us something to compare with today. The full house would be 17,950 hours of minimum wage work or 448.75 weeks, 8.63 years.
Today, the median home price is $416,900:
https://www.fool.com/money/research/average-house-price-state/
The federal minimum wage is $7.25 an hour.
https://www.dol.gov/general/topic/wages/minimumwage
So that 10% down of $41,690 is now 5,750 hours of minimum wage work. More than double the 1,975 hours it was in 1974. In order for it to be 1,975 hours, the minimum wage would have to be $21.11 per hour.
The full house? 57,503 hours of minimum wage work at $7.25 an hour (1,438 weeks or 27.6 years), again, more than double the 17,950 hours needed to pay off a 1974 house. In order to pay off a $416,900 house in 17,950 hours, the minimum wage would need to be $23.23 per hour.