The Original Supreme Personality of Godhead Krishna is the cause of all causes.

According to Srila Bhaktivinod Thakur Lord Rama is a lila avatar coming from Visnu, but Krishna is the source of Visnu via Balarama and is not an just a lil avatara…

Yes, your summary accurately captures the core theology taught by Srila Bhaktivinoda Thakura and the broader Gaudiya Vaishnava tradition

My edits to Ai .

.In works like Jaiva-dharma and Sri Caitanya-siksamrita, Bhaktivinoda Thakura systematically explains the ontological hierarchy of the Divine (tattva), distinguishing between the original source of all incarnations , Krishna, and the various categories of incarnations that descend into the material world. Krishna as Avatari (The Source of All Incarnations) He is not just an avatara. While many Hindu traditions view Krishna as an avatara (incarnation) of Lord Vishnu, Gaudiya Vaishnavism asserts that Krishna is Svayam Bhagavan—the original Supreme Personality of Godhead.]The root of all forms. Rather than descending from Vishnu, Krishna is the avatari (the fountainhead or source of all avataras). This is anchored in the Srimad-Bhagavatam (1.3.28), which concludes its list of incarnations with the statement: “ete camsa-kalah pumsah krsnas tu bhagavan svayam” (“All of the above-mentioned incarnations are either plenary portions or portions of the plenary portions of the Lord, but Lord Sri Krishna is the original Personality of Godhead”). The Chain of Expansion: Krishna to Balarama to Visnu .Krishna created the material universe, through His Divine expansions through a specific sequence .Balarama krishna’s very first immediate expansion is Balarama, They are non-different in essence (vishnu-tattva), differing only in bodily hue and devotional mood. The Catur-vyuha (Quadruple Expansions) that expand from Balarama are the primary quadruple expansion—Vasudeva, Sankarshana, Pradyumna, and Aniruddha. Maha-Sankarshana and Vishnu. From this Sankarshana manifests Maha-Sankarshana, who in turn expands into the three Purushas (forms of Vishnu) responsible for material creation and maintenance:Karanodakashayi Vishnu (Maha-Vishnu), who breathes out the countless material universes.Garbhodakashayi Vishnu, who enters each individual universe. Kshirodakashayi Vishnu, who resides within every atom and in the heart of every living entity as the Supersoul (Paramatma).. Lord Rama as a Lila-Avatara Descending from Vishnu. Lord Ramachandra is classified as a lila-avatara (a pastime incarnation). These are specific forms of God who descend into the material world from the Vishnu expansions (specifically Kshirodakashayi Vishnu) to perform transcendental pastimes, protect devotees, and re-establish religious principles (dharma). In Gaudiya theology, calling Rama an avatara of Vishnu does not diminish His divinity—He is completely vishnu-tattva (the Supreme Lord Himself, not a conditioned soul). However, in terms of theological origin, Rama manifests through the Vishnu expansion, whereas Krishna is the ultimate origin behind Balarama and Vishnu and all the different types of advataras .

Thus Krishna is known as Rasa Raja he relishes all kinds of ” mellows ” including fighting with demons ..

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