Under what circumstance does one need not go through clinic that does not e-filing or medishield logo?

I'm assuming you are referring to an Integrated Shield Plan. The "hospitalization plan" that you pruchased from one of the Integrated Shield providers is not a plan by itself. It has to co-exist with MediShield Life, each plan pays out a certain amount of benefit. E-Filing is compulsory for MediShield Life, therefore, you can only claim from your insurer if the clinic submits an e-file application.

However, if you have any other private insurance, such as those provided by Cigna, e-filing will not be required. The insurer will definitely pay if all conditions are met: no underdeclaration, condition is not an undeclared pre-existing condition, you have met the waiting period for the condition, etc.