The purpose of Lord Caitanya's coming

As described in Śrī Caitanya Caritāmṛta, the combined form of Rādhā and Kṛṣṇa is Śrī Caitanya.
He came to this world to give us Rādhā's state of spiritual love.
And that is why He preached Ragānuga Bhakti:

ye lāgi' avatāra, kahi se mūla kāraṇa
prema-rasa-niryāsa karite āsvādana
rāga-mārga bhakti loke karite pracāraṇa
rasika-śekhara kṛṣṇa parama-karuṇa
ei dui hetu hetu haite icchāra udgama (CC Ādi 4.15-16).

Therefore, I will talk about the essential causes of His descent:
ye lāgi' avatāra, kahi se mūla kāraṇa
(1) The Tasting the essence of the flavors of spiritual love and
karite āsvādana niryāsa prema-rasa
(2) The propagation of the bhakti path of attachment (for the loving state of the Vraja dwellers).
karite pracāraṇa bhakti mārga rāga
Kṛṣṇa, the supreme taster of the flavors of spiritual love, wanted out of His supreme mercy
rasika-śekhara kṛṣṇa parama-karuṇa
due to these two reasons to be born in this world.
icchāra haite ei dui hetu udgama loke

rāgānuga-mārge tāńre bhaje yei jana
sei-jana pāya vraje vrajendra-nandana || (cc 2.8.221)

"One who practices worshiping by following the path of Rāgānuga,
obtains the Vrajendra-nandana (son of Nanda - Śrī Krișna) in Vraja."

Conclusion: The bhakta who does not practice Rāgānuga Bhakti Sadhana does not follow Śrī Caitanya.