You're not wrong. Blockchains that support second layer tokens also allow for a wide variety of capital definitions, from traditional to otherwise.
This is where the freedom opens up, and it's not incompatible with Satoshi's first level settlement layer.
For instance, let's say you're using tokenization to instrument a smart grid. Does it matter to your smart meter and lightbulb that your token has a monetary value? Or is it more important that it has a kw/hr value?
Fields the transaction did not carry are omitted. Open the payload to see the bytes as stored.
1JLButMZPU7xu2PUBPxekTcpJKPzZuaTuZ VerifiedBest if your token has it's own intrinsic value for work/info it carries. It is only bound to the monetary value so it can't be cheated.
Intrinsic value isn't as important as is measurable value. Whether that value is measurable in some fiat abstraction is not necessary.