Its a strange situation we find ourselves in. Bioware seems to be trying to be more like Bethesda, and as of Fallout 4. Bethesda seems to be trying to be more like Bioware! Infuriating and unwelcome for fans of each series really.
But as someone who previously liked Bioware games and didn't really enjoy Bethesda games (I appreciated the huge worlds and exploration, but they were very shallow and cold in terms of depth IMO), I have to say Bethesda's movement in this regard has been by far the better one. Fallout 4 is by no means perfect, and compared to Obsidian's New Vegas, its a joke in terms of storytelling and roleplaying. But its at least heading in a direction that means something to me now, with a greater emphasis on companions, getting them involved in the main story, and just generally paying more attention to its main story at all. Bethesda still have a pretty lacklustre stable of writers, or at least are still coming around to the idea that putting in some effort on dialogue and making interesting quests can only benefit their games, instead of just relying on sheer volume of content.
Meanwhile, Bioware seem to be heading in the opposite direction, making their games colder, more abstract, taking focus away from substantial and in depth content for its characters and quests. All in service of making a large, pretty, but sadly unengaging open world, and drowning players in endless trivial quests with no substance to them. I'm not saying Bethesda are knocking it out of the park or outstripping BW yet (Bethesda are coming from a really, really long way back in the field on this), but the direction of travel has changed now. Bioware are stepping back, Bethesda are stepping up.
And as others have said, it remains a disastrous shame that Bioware rowed back and ran from so much of what they did right in Dragon Age 2. For all its low dev time and budget, recycled environs etc, DA2 remains the only truly significant and positive evolution of their tired old forumla that we've seen in many a long year. Their other games may have greater production values, but they were just trading on past glories, and Inquisition is simply trying to cash in on what has made big money for other companies, creating some unholy hybrid that does nothing well IMO.
To be clear, Bethesda are terrible storytellers and their games have righly been described as having 'The breadth of an ocean, with the depth of a puddle'. So to even be in a position where they are worthy speaking about (or more accurately, approaching a day when they will be) in comparison to Bioware on these issues, is depressing and terrifying.