I don't think these analogies help because so much confusion is being created. There is electron binding energy (informally discussed as chemical potential energy), which is the energy required to remove one electron or the energy released to form a bond. This should be covered in energetics.
The net effect in endothermic reactions is that the species, as rightfully pointed out, becomes less stable because the overall binding energy of its electron cloud becomes greater. The energy can be released in exothermic reactions where the products are more stable than the reactants.