The two are often intrinsically linked, especially in the case of housing. It's not that one sees house prices rising and says 'inflation!', but more where it would naturally lead.
Or another way...a rise in house prices means a rise in rents which means rise in renter wages which means rise in prices. Over the course of some time, naturally.
They are often linked, but they are not intrinsically linked. I'd argue that "often intrinsically" is oxymoronic anyways.
A rise in the specific asset class of housing lowers the dollars ability to purchase housing, I'll give you that. But asset prices hiking in general are not inflationary. It could be because people are chasing yields (probably inflationary) or it could be that there is new information/discoveries making it so that the expected productivity of these assets is going to be much greater, which is not inflationary.
Or another way...a rise in house prices means a rise in rents which means rise in renter wages which means rise in prices. Over the course of some time, naturally.