This is intuitive on an individual level, but price discovery works differently in these two scenarios.

Wages are "sticky" and negotiated directly between two parties. Oil is a globally traded commodity. Oil companies don't just decide to "put their prices up", though large players can influence it.

When a shock happens, buyers immediately bid up the price to secure limited future supply. Producers largely aren't involved in that pricing.

I will also add that, depending on the situation, your company having hard times very well might be the time to renegotiate your pay. It also though may be the right time to sit quietly and not draw attention to yourself.