What's the status of Surya as a deity as per acharyas of major sects (currently Vaishnava, Shaiva, Shaktas)?
Adi Shankaracharya listed him as one of the five equally worship-worthy Pañcayatan deities. So, roughly on a Saguna level, in the Smarta, we may consider him Bhagvān.
But, I have more so heard confusing terminologies/epithets being used for the Sun-God. People sometimes call him 'Surya-deva' , other times 'Bhagvān Surya', unlike Vishnu and Shiva who are mostly celebrated with the 'Bhagvān' epithet (at least in the layman jargon).
How about Vaishnavas, Shaiva and Shaktas? Is he considered "higher" than Indra (the King of the devas)? Does Surya fall under Indra's dominion?
Or, is he accorded the Bhagvān status too?
Note, that I'm not looking for direct scriptural statements like Aditya Hridya Stotra, where he's clearly glorified as just everything (Brahman), but more so, interpretation by acharyas of the sects on Surya's exact divinity status.