If you had a lower left lobectomy in 1960, entered service in 1963, and you lung condition worsened so you were medically honorably discharged is the Navy at fault for allowing you to enter service?
No. You were determined to be fit for duty in 1963. The lobectomy apparently hadn't made you any less fit for duty than others. This happens a lot with many preexisting conditions like healed broken bones, hernia repairs, appendectomy scars and other conditions that may suffer under the stress of military service.
However, a disability claim may be filed for making a preexisting condition worse. This is called aggravation of a preexisting condition and is the basis for many medical discharges as well as continuing disability benefits as appropriate. If you haven't filed a VA disability claim, you should. Good luck!