Herominers pool has no problems but LTHN network has. Why do you think blocks which found at Herominers is not real?
Because they have nothing to do with the LTHN network. Herominers pool forked to their own blockchain and mined on that chain alone for hours. Still mining apparently. 
We found them so they must be belong to our.
Of course, they're 100% yours, do with them as you please, no one's taking them away from you. I wouldn't expect any exchange to accept them from you though. 