I have posted a few similar idea on the subject. Well permanent Death does not seem to belong to this game. Anyway you don't really own your ship, if your ship exploded and you survive, Starfleet will issue you another one, as will the other fleet (though the KF can execute you for incompetence).
But we need to have ship being destroyed matter, or group wipe matter on ground. I like the idea that a disable ship will stay on the map to be saved or destroyed (will need another attack to actually destroy the ship or a critical) and why not have boarding action (real, with your character and Boff). Destroyed ship should spawn back at the nearest starbase or opt to not respawn to beam with the other to the ground in pve.
In pvp, I'd like the no respawn, but that might make for really short match. The present system allow for some slugging out even if you are not good that is not bad either. Unless they modifiy the pvp format I don't think no -respawn death belong to it.
As stated above, this isn't eve online. there are some great ideas to take from eve, the dp isn't one of them. I'm for a more realistic dp, but more like: you get ported to the nearest shipyard for drydock repair. All ships would need rebalance for that even. Loss of a c store ship? Lol no.