I am not qualified to parse Plato, considering the vast amounts of commentary on his Forms existing in literature. At a simple level: yes -- what Plato was trying to address is addressed by the idea of a non-physical information object with some P value. By P value; I am saying its probability to be manifest in the here and now at some empirical location and time.
Materialism has an intuition that superposition is weird. Informational Realism would embrace multiple "objects" having various P values resolving (decoherence) into a single physical object.
Some theorists solve this issue by saying all those real-probabilities pop up in multiple universes. (how whack is that - I am not a supporter of "many worlds")
On the other hand, informational objects - in the sense of their structured relations - are anything but static and eternal as Plato believed! In this sense of real-world probabilities, OOP can make models that correct and correlate Plato's ancient conception shaping them to fit the empirical patterns found by modern science.
Donald Gillies has published an article challenging Luciano Floridi's IR as being to Platonic and offers an Aristotelian version. I may agree with some of D. Gillies points.
http://philpapers.org/rec/GILIRA-2
So, while the concept of a Platonic naked number 2 in heaven that may seem eternal and unchanging is am accepted meme, its actual practical meaning is contextual. 2 is part of the idea of symmetry, it is part of the concept of a copy, it is part of dividing in half, etc. 2 is structured information that can be included (or excluded) into the context of more complex information objects.