Śrī Kṛṣṇa is unlimited and has millions, billions ... countless Dāsas, Sakhās and Gopas who serve Him in other Rasas. There is nothing lacking for Him. Never. But in Kali-Yuga as Śrī Kṛṣṇa Caitanya Mahāprabhu, He wants all embrace Mādhurya-mañjarī-bhāva. It's His desire.
If the sthayi bhava is fixed, doesnt change. But if it is not fixed and crystallized (and it happens only in the Bhava stage) CAN change.
Sthāyi-bhāva is described to be of three kinds:
1. Sāmānya-rūpa - general emotion which exists without being directed towards any of the five main emotions;
2. Svaccha-rūpa - emotion influenced by others' emotions;
3. Śāntyādi pañca-vidha-rūpa - one of the five emotions beginning with Śānta.
1. The first category of Sthāyi-bhāva or a semblance thereof exists within the heart of one who has not been in contact with devotees established in a specific Sthāyi-bhāva, one of the five primary emotions.
2. The second category of Sthāyi-bhāva or a semblance thereof exists within the heart of the devotee whose emotions change depending on his association with devotees established in one of the five primary emotions.
3. The third category of Sthāyi-bhāva or a semblance thereof exists within the heart of the devotee who is firmly fixed in one of the five primary emotions, and whose affection does not change.
Gaudiya Vaisnavism means madhurya manjari bhava.
Sri Caitanya is in the mood of Madhurya and the 6 Gosvamis are in Manjari Bhava.
The great majority of people who approach the Gaudiya Vaisnavism, although they have a certain inclination towards other Rasas due to impressions of past lives, will embrace Manjari Bhava because their sthayi bhava is not crystallized and due to the great force of majority influence of this mood.
A few others maybe not. Okay. We can accommodate everyone.
The devotees who sympathize with Gauranga but are in other rasas are considered to have an external and not so close relation to Sri Caitanya Mahaprabhu.
But devotees in madhurya bhava have a deep, intimate and inner relationship with Mahaprabhu and these yes are called gaudiyas.
"Devotees of Viṣṇu are called Vaisnavas, devotees of Kṛṣṇa are called Kārṣṇas, and the devotees of Śrī Rādhā are called Gauḍīyas." (Srila Bhaktisiddhānta Sarasvatī Ṭhākura)
Because Mahaprabhu is Radha (Krsna with Her mood) and the 6 gosvamis are manjaris.
We can accommodate all. But they are different categories.
Only devotees in madhurya bhava have a deep, intimate and inner relationship with Mahaprabhu.
Even the dvadasa gopalas are included in the 64 mahantas because they propagate madhurya manjari bhava.
Sri Nityananda is Ananga Manjari. Sri Advaita is Rati Manjari, Dhananjaya Pandita is Sri Madana Manjari ...
"Devotees who are in a relationship with the Supreme Personality of Godhead in conjugal love are considered to be the most confidential devotees of Lord Śrī Caitanya Mahāprabhu. Those who engage in the service of Lord Nityānanda Prabhu and Lord Advaita Prabhu generally have relationships of parental love, fraternity, servitude and neutrality. When such devotees develop great attachment for Śrī Caitanya Mahāprabhu, they too become situated within the intimate circle of devotees in conjugal love.” (Śrī Bhaktisiddhānta Sarasvatī Ṭhākura - Anubhāṣya CC Ādi-līlā 7.17)