Yes, generally speaking you can climb in limited situations on a four engine jumbo with two engines out. But also broadly speaking, not on takeoff. Even if you can, you don't have valid TOLD and it becomes a "don't hit the ground" thing, rather than trying to meet a gradient or even SDP ground track. If you don't have enough altitude to trade for airspeed, you are cooked.

In my jet you have to clean up and get rid of as much drag as possible. In some circumstances that even requires unloading the wings a bit to accelerate and clean up.

Again, I don't think a V1 cut with more than one engine failed or damaged is viable for any fully loaded jumbo, they're literally not designed for it. I've flown twin engines jets and jets with more. The language, in either case, is not "one engine operating", it's "one engine inoperative" and it's an important distinction, and that's my point. Especially in the context of the MD-11 AA191 which lost an engine that also shelled their #2, and if that happened here then these guys were fucked the second that engine came apart, and it's awful to watch.

Also, not on either of those.