I have a suspicion that Plato took his idea of the "perfect world" a little bit too far. He said that the material world is something that we experience with our senses, but is also an imperfect representation of the "perfect" form of what everything is. The only access we have to this perfect world is through our minds, like when we see the many variations of trees in the world (to give a very particular example), we still recognise them as trees. It isn't like we have a different recognition of what each of those tree types actually are, and whether or not they can be perceived as something completely different, so we recognise them all as a "tree". This "tree" is an idea in our minds which is our only (and very limited) connection to the ideal world, as we use this idea universally to recognise all types of tree. But isn't this idea of a perfect world a little bit absurd? Isn't it simply that the human mind uses packets of information (schemas) to encode and condense the vast amounts of information in this world so that we can understand what it all actually is?
human mind uses packets of information (schemas) to encode and condense the vast amounts of information
From where those packets of information come to human minds? Isn't it that we sense the sensible things in this world and we recognize them by their ideal. How do we recognize a straight line? Is there any real perfect straight line in this world? No, we recognize the straight line in this world because once we have grasped the absolute perfect line before we are born, and now we are only remembering it.
Your interpretation --the Forms are just conceptual schemas --is a typical and common one for our times. Idealism has long been on the wane, and the idea of perfect Reality deeper than our own is decidedly out of vogue.
In the case that you're ascribing your view to Plato, however, you're in error. While there may be a lot of disagreement over what Plato actually meant by his Theory of Forms, and how literally he intended it, it's uncontroversial that he considered mundane material reality to be largely illusory. Whatever he meant by the Forms, it was NOT just a conceptual shorthand for him. Where the modern materialist worldview considers greater abstraction to be a marker of greater distance from actual reality, Plato believed the opposite.
Interestingly enough, challenges to Plato's idealism began as early as his student Aristotle, who famously had a more pragmatic view of reality (as dramatized in the well-known painting that shows Plato pointing to the sky, and Aristotle to the ground).