One secret of the spread trading is the financial/physical convergence. Since the CL inventory is at close to historical record, there is no shortage of crude. When the front contract expires, financial contract and the physical crude oil converge. Then you have the front to 2nd contract roll. So near expiration, the front spread somehow disappears. This happened at least the two previous two months. This is going to happen again and again.
In another word, the $0.76 premium of Jun over July should drop or disappear. In general, it is a profitable trading opportunity to short this spread. You can do it again and again, with wider spread ($0.90 etc...).
There is some risk, but small....
Everything you said there is completely false. That is just not how the market works. And the excess storage is not why the spread is there. There are serious supply constraints that dictate the basis. Having oil in storage is not going to help you if you can't move it.
