Amitābha's Sukhāvatī & the "Lotus Vault World"

What is the relation of sukhāvatī to the 蓮華藏莊嚴世界海 (the lotus's vault, the perfected lokadhātu, the ocean) attested to in the Buddhāvataṃsakanāmamahāyānasūtra T279 & Saddharmapuṇḍarīkanāmamahāyānasūtra T262, wherein arahantaḥ, according to the Mahāyāna as attested to in aforementioned scriptures, perfect Buddhahood?

Context:

問曰：阿羅漢先世因緣所受身必應當滅，住在何處而具足佛道？
Inquiry: in the arhat’s past lives the causes and conditions for being subject to embodiment necessarily ought to have been eradicated, [in light of this] they dwell where to perfect buddhahood?
答曰： 得阿羅漢時，三界諸漏因緣盡，更不復生三界。有淨佛土，
Response: when attaining arhatship, the three realms’ myriad outflows’ causes and conditions are exhausted, there is no more birth again in the three realms. There is a pure buddha land,
出於三界，乃至無煩惱之名，於 是國土佛所，聞法華經，具足佛道。
beyond the three realms, where not even the word affliction has a name, in this kingdom of the Buddha, they hear the dharma flower sūtra [i.e. the Lotus Sūtra], with this they perfect buddhahood.
如法華經說：「有羅漢，若不聞法華經，
As in the dharma flower sūtra’s words: "There are arhantaḥ[,] for example[, who’ve] not heard the dharma flower sūtra,
自謂得滅度；我於餘國為說是事，汝皆當作佛。」
themselves they call [’]ones who have attained cessation[’]; I in another realm for them speak this matter, you all shall become samyaksaṁbuddhāḥ."

(Mahāprajñāpāramitōpadeśaḥ T1509.714a9)

Furthermore, this pure land, what relation does it have to ākaniṣṭaghanavyūha?

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from Buddhism https://www.reddit.com/r/Buddhism/comments/9zh4hz/amitābhas_sukhāvatī_the_lotus_vault_world/