I guess saitama will keep on jumping the ranks and slowly the people whom he surpasses will acknowledge him and others will feel threatened and consider him fraud. Until eventually he is above blast while saving the earth from god level threats while the world watches and he becomes no. 1 and after that he will just chill till the time he accidentally during a fight reaches in the past and we all realise that the fame blast has earned was the doing of future saitama.