Should Mass Effect dabble with the concept of origin stories (similar to DA:O)?

I guess it would be nice but it's not a necessity. Those resources are probably better used to make the story coherent.

I hated the origin stories and not because they were bad, but because after you finish the origin it didn't matter what you had picked it all became the same character. I much rather have multiple points throughout the game where I have unique content for my choices and not just have it all lumped together at the start of the game which is what they were trying with Inquisition.

Uh Quarians aren't biotic so nope.

I didn't care too much for DAI, but I do remember liking this and thought it was well done. Player agency moment that I appreciated.

See how racist BioWare is against quarians?  They HATE them!

Don't we get that?  Earthborn Shepard meets Finch, Spacer Shep meets that drug addict guy (and talks to Mom), Colonist Shep meets Talitha.  It does at least touch on Shepard's past.  Hero of Elysium encounters Haliat, as does the Butcher of Torfan.  Sole Survivor interacts with Toombs.  Yes, the last ones are in the game regardless, but the dialogue is affected by background.

Profound.

I like Origins but unless a ME SP allows for race selection i see no point putting them in a ME game an would probably just prefer more background choices to pick from

That's fair.

EDIT: I'm actually somewhat surprised by some of the responses I've seen to the topic. I'm not as thorough with reading up on the criticisms and topics regarding the Dragon Age series (as I am Mass Effect), and I came into this under the impression that most people genuinely enjoyed the unique background aspect of Origins; rather than it being a mixed-bag. Maybe it's one of those, "it was cool the first few times, but then..." sorta things. I played DA:O, but I only gave it a single playthrough, so I can't really contribute too much on this front.

Not asking of you specifically, but I wonder if the the series could include Traits into it. Normally, Traits are either a contextual benefit to your character that is only useful in a very narrow area, or it provides a beneficial gameplay bonus that also imparts a deficiency onto your character.

An example I could make for the Mass Effect universe would be a trait called "Unstable Biotic". Having such as trait would make your Biotic abilities have the capacity to deal more damage or have a greater AoE effect, but it could also significantly increase their cooldown.