Either things settle back down to normal at some point, in which case you've made some revenue, but probably not recouped your investment. The Cushing facility managed to build 7 million bbl capacity in the early 90s for $60 million. I expect it would cost $80-100 million to build today. Current (inflated) storage costs are 50 cents per barrel. Let's say that rises a LOT and skyrockets to $2 - that's a gross of $14 million per month. Assuming $0 in overhead, you'd need for this contango to last for another 7 months to break even. If we assume something like a 30% margin, then you'd need it to last around two years.
Alternately, things don't return to normal. The market becomes depressed enough that airliners barely fly, and the global world consumption falls. The oil you're storing becomes cheaper to the point that storing it costs more than buying it, and there's nobody to sell it to. Your customers default, and your investment quickly becomes the thing that bankrupts you.
It is ironically the portability of oil-refined products (gasoline, diesel) that makes it so appealing for things that aren't stationary -- planes, cars, etc.
For example, any container over 55 gallons is subject to EPA regulation and counts towards the total permitted site quantity. Storing more than 1,320 gallons above ground requires the site to have an approved SPCC (Spill Prevention, Control, and Countermeasures) plan.
You can store 42,000 gallons below ground but that requires excavation, permits etc.
Basically: it's difficult to do on short notice.
Further reading: https://www.epa.gov/ust/aboveground-storage-tanks
One point made when that fire occurred was that the tanks are placed in earthen basins, so that when tank fails, the flaming fuel just fills the basin, minimizing risk of spreading to neighboring tanks.
These physical goods are much harder to store than bits.
When is the physical settlement of the contract? My understanding is that physical settlement of the May futures contract is 21 April (that is, tomorrow).
So you don't have a week or two to build your big tank. It needs to be finished tonight.
https://www.cmegroup.com/trading/energy/crude-oil/light-swee...
My guess is that the build time is 1-2 years with 5 years of permitting up front. I also imagine building capacity is capped with a limited number of trained engineers/welders.