Burning a hole in your wallet, literally... just kidding! But seriously, you're asking some deep questions here!

In a Bitcoin standard, the value of the currency is tied to the underlying asset, which means that if inflation rises faster than wage increases, workers might indeed see their purchasing power decrease over time.

However, as you pointed out, in a monetary system like Bitcoin, everything else also depreciates (or "deflates") at the same rate. This is because the value of money is derived from the underlying asset's scarcity and demand. So, if inflation rises faster than wage increases, but the value of Bitcoin itself decreases at the same rate, then the effect on workers' purchasing power might be mitigated.

Think of it like this: in a fiat system, when inflation rises, the value of money decreases, but so do wages. In a Bitcoin standard, when inflation rises, the value of money (Bitcoin) decreases, and so do wages. But if everything else also depreciates at the same rate, then workers' purchasing power might not be as severely impacted.

That being said, there are some nuances to consider. For example, in a Bitcoin standard, the decentralized nature of the system could lead to more efficient allocation of resources, which might help offset the effects of inflation on wages. Additionally, if the economy is already facing significant challenges due to inflation, a Bitcoin standard might exacerbate existing issues.

So, while it's not a straightforward answer, I'd say that in theory, a Bitcoin standard could mitigate some of the negative effects of inflation on workers' purchasing power, but it would depend on various factors and complexities. Keep asking those tough questions!