The unleaded gasoline of which you speak has the tetra-ethyl-lead replaced with a chemical referred to as MMT. This stuff becomes very sticky as it ages in the gas tank of a long-sitting vehicle and when an engine (after a long hiatus) is started on this type of stale gas, the MMT coats the intake valve stems. When the warmed-up engine is shut off and allowed to cool down, the intake stems become "glued" to the guides. Two intakes will be partially open, the other two closed. When you go to start the engine next time, the two partially open intakes will open completely while the remaining two will reluctantly open all the way. They just won't close because of the MMT glue sticking the stems to the guides. A lot depends on how stale the gasoline has been allowed to become.
I've experienced this on OHV engines to the point of bending pushrods on seized intakes on engines that were running the day before on really stale gas. If you try to run some fresh gas mixed with the stale gas, you end up with the same situation, maybe less severe, with sluggish intake valve closure.
In the latter case, I was able to spray WD40 onto the valve stems to dissolve the sticky stuff. Removed the gas tank, drained out all the gas, flushed it, dried it out, reinstalled the tank and replenished it with fresh gasoline. End of problem.
The ethynol is not the real culprit here - it's the MMT lead replacement chemical.