The instruction of this sacrifice is that puja should be done exclusively for the service of Hari and with full knowledge of the soul (atma-jnana). Then Bhagavan will be pleased. Prthu Maharaja performed these sacrifices for the protection and welfare of all living entities, and therefore for the pleasure of Bhagavan. If this prime factor, this service, is not there, then Bhagavan will never be satisfied. This service was present in the worship of Prthu Maharaja, as it is in the worship of the gopis and all other great devotees.
Sometimes we hear of the different devotees of the Lord who most perfectly executed each of the nine limbs of bhakti. For example, Sukadeva is famous for kirtanam, Pariksit Maharaja for sravanam, Prahlad Maharaja for smaranam, etc.
The example always given for perfect arcanam is Prthu Maharaja. And really we can see how grand his arcana was from Srila Gurudeva’s description. Probably no one on this earth has ever performed such a high level of arcana. But just before he was about to complete this huge worship, he gave it all up in one second. From this we see how his sole objective was the Lord’s pleasure and nothing else.