> If inflation was running hot persistently at like 6% then long term interest rates would be higher
This is not true.
> housing prices would fall in nominal terms compared to wages
I suggest you reconsider your assertion that 6% inflation would result in lower housing prices.
> The low-inflation, low-interest rate environment has produced high asset valuations due to the cheapness of borrowing money.
The high asset valuations as a result of low interest rates is textbook monetary inflation.
> There is an important distinction on the spectrum between consumable things bought with wages and investments bought with borrowed money, and the rise in prices in those categories are different.
The prices in both those categories are affected by dilution of value as a consequence of monetary expansion and that increase in prices has a name, 'inflation'.
> If you want to play the semantic game that all rises in any prices are inflation there is a real distinction that you're missing -- in which case we should talk about asset inflation vs. price inflation vs. wage inflation as being different inflations and stop talking about it like its the same thing (which economists would tell you it isn't by arguing that you're talking about assets and not inflation, but now we've just gone in a circle talking past each other because of definitions).
The point of semantics is to enable us to communicate by having mutually understood meanings for the words we use. If you want to talk about price increases that are not a result of monetary factors, then you can just talk about the price of things going up without misappropriating the word 'inflation' and making it seem like you don't understand what the word even means.
Inflation causes asset prices to rise.
> If inflation was running hot persistently at like 6% then long term interest rates would be higher
This is not true.
> housing prices would fall in nominal terms compared to wages
I suggest you reconsider your assertion that 6% inflation would result in lower housing prices.
> The low-inflation, low-interest rate environment has produced high asset valuations due to the cheapness of borrowing money.
The high asset valuations as a result of low interest rates is textbook monetary inflation.
> There is an important distinction on the spectrum between consumable things bought with wages and investments bought with borrowed money, and the rise in prices in those categories are different.
The prices in both those categories are affected by dilution of value as a consequence of monetary expansion and that increase in prices has a name, 'inflation'.
> If you want to play the semantic game that all rises in any prices are inflation there is a real distinction that you're missing -- in which case we should talk about asset inflation vs. price inflation vs. wage inflation as being different inflations and stop talking about it like its the same thing (which economists would tell you it isn't by arguing that you're talking about assets and not inflation, but now we've just gone in a circle talking past each other because of definitions).
The point of semantics is to enable us to communicate by having mutually understood meanings for the words we use. If you want to talk about price increases that are not a result of monetary factors, then you can just talk about the price of things going up without misappropriating the word 'inflation' and making it seem like you don't understand what the word even means.