Your fourth objection is stam not true because it was the same conditions – persecution of the Jews – that led to both.
If you want to only look at it from the most general perspective possible, than that’s a reasonable statement. But it’s absurd to think that the nature of the persecution was the same. Stuffing millions into CC’s while inhuman, does not create, for instance, the intense confusion and bilbul that constantly being on the move / run does. Which might be relevant. Which on defense is all I need.
Your third objection only has weight if you can show that hundreds of years of not doing something is mevatel it, which you have already agreed that you cannot show.
This is deeply flawed logic. The objection has weight as long as you can’t disprove it (offensedefense). If you want to shlug up using mesorah, you have to understand it first. You can’t assume the default is that mesorah works in the ways & says what you think it should.