"this game is very much a new adventure, taking place far away from and long after the events of the original trilogy."
BioWare may say a new adventure but they can't deny the trilogy(endings) completely, no matter how long after the Andromeda plot is taking place. Something has to be canon which should serve as a prologue to ME:A and then leading to a new journey.
Speaking of characters that you listed or any, I highly doubt it but who knows. Even if we get a slight appearance of them, it would be the characters belonging to Asari and Krogan species due to their life expectancy. In the end, it doesn't matter to me if I see them or not.