Martini, if you were to have carefully read my post,
(In order to receive Holy Communion, one must believe in the real presence of Jesus in the Blessed Sacrament, be free of mortal sin, and be in communion with the teachings of the Catholic Church. Unfortunately, because Protestants are not in union with Peter, and because their clergy do not have apostolic succession nor do they believe in the Real Presence of Jesus in the Blessed Sacrament, they cannot receive Holy Communion. This would include Lutherans.)
you will notice that I did not include the Orthodox in my answer because of the same conditions you outlined. Since the OP was only referring to Lutherans, who are, in fact, Protestant, I didn’t think that there was a need to confuse things even more by bringing in the Orthodox. In fact, in another post regarding non-Catholics going ot Confession, I made that very same point concerning the Orthodox and the reception of Holy Communion in our Church and vice versa.