I'm not sure why people are so convinced EA are going to do a remaster when they have said they have no interest in doing so. I suppose they could offload it to another studio but why would they bother when the chances are the games are going to be on the backward compatibility services at no extra cost to EA.
EA has indeed said they had no interest in remasters. They tried to spin it as "remaster = lack of originality" which coming from a company loving yearly franchise is quite LOL worthy. The real reason is probably that only old exclusive games have any real succes as remasters. Sony keeps making PS3 exclusive remakes because the PS3 bombed while the PS4 soars meaning that a huge portion of PS4 owners never played those titles (Naughty Dogs said 80% of PS4 owners never played any Uncharted games for
example). There is significantly less reasons to do the opposite, only ME1 lacks on the playstation platform and I wouldn't be surprised if the opposite is true there which would mean that many PS4 owners have had the opportunity to play ME1 on PC or 360 before.
Would people really run out to buy a remaster of games that they can already play on their consoles. Would PC owners buy a new version of games that already have high resolution options available. Sure they'd see some sales but enough to make the money back and the healthy profit the shareholders would demand?
This would require a lot of work for what they seem to think won't be enough sales.
As it is right now I would be very surprised if they announced a ME remaster anytime soon.