Yep, plenty of oil field geologists say oil production is natural and continuous. Doesn’t mean that dino droppings cannot make methane, just go out in the Everglades Swamp and smell the methane and see the gas flares, but it means the principle mechanism may in fact be geologic.
The cold dead world of Titan confirms that.
We know the universe ‘made’ all the elements ...
Problem with that is there is a thick, impermeable layer of salt above the mantle that would not allow that gas to make it towards the surface. The replintishment that you are talking about is minor compared to the flush production that came from the fields and is just hyrdocarbons migrating up the faults from the source beds below.