" If people really need oil, they'll find ways to manufacture it more cheaply from biowaste."
What? No.
We don't care about the extraction.
If oil must be burned, don't care whether it's Oil from wells or Oil from biowaste.
If it's oil for burning an engine, and we need that engine to operate for some economic reason - then we actually want people to consume the cheapest version.
We don't want to make people jump through hurdles to 'run an engine that we need to run' for no reason.
We may want to make sure that running that engine is economically essential, in which case keeping prices high, or, by some regulation.
The act of 'extraction' is not a problem, there's not much negative from that.
Other than geostrategic issues (i.e. Russia) we don't care where it comes from.
What we want to do is tax the fuel itself - not emissions.
The emissions are a direct function of the fuel.
We know X litres of gas will create Y tonnes for Co2 and that's it. So tax the fuel instead of getting people to figure out emissions.
Oil that is used for other reasons, we don't really care about.
We could put a fuel tax, and a natural gas tax up right now - we already have mechanisms in place for that.