Did you mean that Bitmain should pump the coins when it reaches at $5800-$6000 levels in order for them to as least break even?

I'm not sure about that, although they have a lot of money to begin with, it doesn't makes sense for them. If there's a coin that they are going to pump, I'm sure that it should be their beloved Bitcoin Cash. They don't have a lot of stakes, even if bitcoin goes below $6K, they can still profit by just selling bitcoin mining gear.