I've loved every Elder Scrolls game since Morrowind, but I have to admit that IMO the less things taken from Skyrim, the better. DA and ES are different breeds of RPG. IMO focusing on the Skyrim-y stuff meant less focus (or the appearance of less focus) on the DA stuff in DAI, taking more from Skyrim could be more damaging than it is helpful. I'm prepared to eat my words if Andromeda changes my mind on the subject, but for now I think DA should look at its best parts before looking at Skyrim's best parts.
I think leading up to DAI's release I think there was a dev interview, where they talked about taking inspiration from the open-world nature of Skyrim in designing DAI.
I agree OP, Bethesda worlds feel much more alive to me since the NPCs have their own lives and schedules and react to the things happening around them. In DA:I they were statues.
No NPCs don't react to anything in Skyrim. I can massacre all the guards in Whiterun, serve my time/pay my way out of trouble, and then buy stuff in the market. No chance in hell anyone would trade with the dragonborne in Whiterun, if she had committed a major massacre the week before.
Also killing Alduin/Harkon/Miraak is barely noticed by anyone in Skyrim, even plot important characters hardly notice/react to anything happing.
You would think that the NPCs would have some sort of celebration or at least shower the dragonborne in gold and titles, now that the world ending threat is dealt with, but no.
Also completing the Civil War questline hardly has any effect on the game world. Its been pointed out that before, that the dragonborne can join the Legion, unite Skyrim under the Empire and receive the title of Legate (general), only for the Imperial soldiers/guardsmen to go on to scoff at and even threaten the player. Even though the dragonborne at that point is top commander/officer in the Imperial Army.
You would think privates in the Imperial Army would try to avoid outright insulting and threatening a general.
In my opinion the NPCs in Skyrim are actually downright scary, not caring if their friends and fellows are slaughtered by the player or showing any emotional impact or reaction. Sure they might run and hide when the player is on a rampage, but after the player has served their time its back to business, buying all the random loot the player got from murdering their friends and family members.
Though its not Skyrims or Bethesdas fault per say. Its the limitations in game engine and development funds. Skyrims NPCs are drones and automatons, and whats worse its badly hidden.
You could aim the same criticism at BW and Dragon Age, however by the nature of the series mostly linear design the developers are able to devote more time to the individual NPCs, thus making them more believable and enjoyable. I don't how many NPCs there are in DAO, DA2 or DAI but there are around 600 non-hostile (i.e. not hostile bandits/necromancers) in Skyrim. Guess how much development time they each got. Guess how interesting they each are.
Adding a day/night schedule does not an alive character make.