That assumes an asset can be used as a medium of exchange. In its current form, BTC is not a medium of exchange, it's a store of value.
In other words - the word inflation has to do with purchasing power. If the asset isn't used as a way to purchase then comparing the characteristic of inflation is basically pointless. It' be like saying "trees are inflating as an asset". No one makes purchases using trees so the concept is irrelevant.
But you're right that Bitcoin is mostly used as a speculative investment, and not to actually exchange goods. (That's not very convincing to crypto-people, though.)
It more accurately conveys the fact that 1) the assets are increasing in value, compared to a basket of goods or the USD; and 2) doesn’t imply that the asset is a currency.
I don't think this is precise. Inflation of an asset means that the asset itself drops in value, relative to the value of other goods. For example: when prices rise, the USD itself would be inflating because would then take more USD to buy goods.
Bitcoin is rising in price compared to the USD. So it's not "inflating." If we treat Bitcoin as a currency, it's deflating because right now it takes fewer Bitcoin to buy goods than one year ago.
This is also why "asset inflation" is not precise. The asset itself is not inflating, it is actually deflating wrt. to other goods.