Buddha attained three knowledges in his Samma-sambodhi, while Arahants attain just one.
Yes; however, are all those "knowledges" bodhi?.
Yes, as explained in Pasadika sutta from Digha Nikaya and other suttas, Tathagata "awoke to" or comprehended (abhisambujjhati) all that (I don't know of an English translation on-line):
Yañca kho, cunda, sadevakassa lokassa samārakassa sabrahmakassa sassamaṇabrāhmaṇiyā pajāya sadevamanussāya diṭṭhaṃ sutaṃ mutaṃ viññātaṃ pattaṃ pariyesitaṃ anuvicaritaṃ manasā, sabbaṃ tathāgatena abhisambuddhaṃ, tasmā ‘tathāgato’ti vuccati. Yañca, cunda, rattiṃ tathāgato anuttaraṃ sammāsambodhiṃ abhisambujjhati, yañca rattiṃ anupādisesāya nibbānadhātuyā parinibbāyati, yaṃ etasmiṃ antare bhāsati lapati niddisati.
And as Atthakatha explains, there is an 'omniscience' (sabbaññuta) involved:
Sabbaññutaññāṇapadaṭṭhānaṃ maggañāṇaṃ maggañāṇapadaṭṭhānañca sabbaññutaññāṇaṃ ‘‘sammāsambodhī’’ti vuccati.
Speaking about filtering - it's interesting that specifically in the Western tradition "Buddha" and "Bodhi" are interpreted as having to do with "Awakening", as if from sleep.
that is naught more than your opinion
It's hard to maintain a respectful conversation with such remarks of yours.
You voice an opinion, it is called that and you take umbrage?
Well, I'm not going to argue with you. And I will probably be less likely to engage in conversations with you. It is not about one remark, but about many.
I hope that in the future moderators on this forum will be more respectful and considerate.
Can you provide a definition of 'bodhi' from the suttas?
I already have in the linked text.
I have not found there a definition. Definition is "the formal statement of the meaning or significance of a word".