This is already the case. While with low fees you can get a patent issued as a smaller institution, in practice only institutions with in-house legal teams can

This is already the case. While with low fees you can get a patent issued as a smaller institution, in practice only institutions with in-house legal teams can afford to defend them. Those include, unsurprisingly, patent trolls and megacorps. The cost of patent litigation is in the millions regardless which side you're on.