Here's median, quite clearly 50% higher than the 70s:
https://fred.stlouisfed.org/series/MEPAINUSA672NAgreed that people cherry pick the specific goods vs inflation to defend their point of view. TVs vs College are typical examples of radically cheaper vs radically more expensive.
The housing situation is quite a bit more nuanced though, in my opinion. A lot of data shows it hasn't really been getting more expensive.
For one, we're not comparing the same houses. The average home size in 1969 was 1200 square feet. Today it's over 2400 square feet, or double.
Second, we're not comparing the same members of the household. Homes were shared by 3.33, now by 2.5. That's in part an indication of cultural change, but also in part a change in wealth and luxury, as the number of single-person households more than tripled since 1969, something unaffordable at the time.
Then there's the costs of the loan. Virtually nobody, certainly not first-time buyers, outright buys a home in cash, not then and not now. Homes are financed with mortgaged. The price of a mortgage is in the interest rate. Paying off the principal isn't an expense because it reduces your liability, any debt paid off means the equity is now yours, and if you sell the home you get the cash back. The interest you never get back, it's the price of the loan. The interest rate was 7.5%, now it's 3.5%, less than half.
Putting it all together, yes, nominal home prices are about 15x higher today. But the cost to rent money to own a certain size home per person, is indeed 14.8 / (3.332.55) (1200/2500) / (7.5*3.55) = 2.57x as expensive, nominally. Whilst median personal income grew by about 6-7x [0]
In other words, housing has gotten cheaper. It's the reason current prices are sustained despite the average house being 2x as big, and shared by 25% fewer people. The reason housing prices are so high is because we're living in bigger homes and sharing them with fewer people and paying less on the financing costs.
[0] https://fred.stlouisfed.org/series/MEPAINUSA646N