Lord Caitanya CAME to propagate SPECIFICALLY Mādhurya-rasa and not other Rasas !!!
In the eternal daily pastimes of Śrī Kṛṣṇa divided in 8 parts, Aṣṭa-kālīya-nitya-līlā, Śrī Kṛṣṇa is not all day with the Gopīs. He is also with His cows, His servants, His friends and His parents.
Lord Caitanya came to propagate specifically Mādhurya-rasa and not other Rasas. What happens is that in the pastimes of Mādhurya-rasa the other Rasas are included.
At a certain period of the day Kṛṣṇa separates from Rādhā and the Gopīs. And this, this separation, increases the conjugal relationship. This separation intensifies the union.
The other Rasas are there in daily pastimes to enliven and uplift Mādhurya-rasa.
The word Ānusaṅge means - as a secondary motive, incidentally, not intentionally. Or, all other forms of Rasa simply followed in that wake.
yuga-dharma pravartāimu nāma-saṅkīrtana
cāri bhāva-bhakti diyā nācāmu bhuvana
“I shall personally inaugurate the religion of the age — Nāma-saṅkīrtana, the congregational chanting of the holy name. I shall make the world dance in ecstasy, realizing the four mellows of loving devotional service."
(CC Ādi 3.19)
sei rasa āsvādite kaila avatāra
ānusaṅge kaila saba rasera pracāra
"He made His appearance to taste that conjugal mellow and incidentally to broadcast all the Rasas."
(CC Ādi 4.223)
Śrīla Kṛṣṇadāsa Kavirāja Gosvāmī comments on the Anarpita-carīṁ Śloka:
śrī-kṛṣṇa-caitanya gosāñi vrajendra kumāra
rasa-maya-mūrti kṛṣṇa sākṣāt śṛṅgāra
sei rasa āsvādite kaila avatāra
ānuṣaṅge kaila saba rasera pracāra
"Śrī Kṛṣṇa Caitanya is non-different from the son of Mahārāja Nanda, the reservoir of all transcendental mellows. But, because Śrī Caitanya has specifically come to taste Mādhurya-rasa, he is a Rasa-maya-śṛṅgāra-mūrti. As such, the propagation of all other forms of Rasa merely followed in that wake."
Śrī Caitanya did not come to propagate the 4 Rasas. He came to propagate only Mādhurya-rasa. The other Rasas are part of the set of pastimes in Mādhurya-rasa.
This is my understanding and of the Gauḍīyās. Or at least for some !!!
