There were several times I got a Skyrim flashback while playing DA:I. When I explored dwarven ruins at the storm coast I had to actively remind myself that there was no danger from Dwemer centurions. The Fade sequence after Adamant reminded me a lot of Apocrypha, the realm of the daedric prince Hermaeus Mora. Only with less books. 
There are several elements taken from other games in DA:I, there is no denying that. It's what all games do.
I just wish some would have been integrated better. Mounts feel completely out of place. I think I may have used one in the Hissing Wastes once but anywhere else walking worked better and also allowed me to hear party banter.
I understand what BioWare tried here but they didn't quite get the balance right. There's too much world for the story they have.
Edit: Storm Coast, not Sword Coast. I'm getting my games mixed up. ^^
I do that all the time, and frankly, it's because I come away from a session thinking nostalgically about BG. So much so that I've been goofing off with the BGEE a lot lately, and then went to IWDEE. I loved those games back in the day, and to make me come away thinking about them isn't a bad thing. As far as I'm concerned, BG put BioWare on the map. I'm not a huge SW fan, so I didn't touch KotoR, and I never played Jade Empire, but I was all over everything BG, and everything IWD, until NWN, then I was all over everything NWN for 5 years, playing online.
There are more similarities to BG than people want to admit. While Origins was marketed as the "Spiritual Successor" to BG, I think they got closer to that with Inquisition than they did with Origins. Especially when I look at the usual complaints: big open maps, lots of fetch quests/side quests that aren't related to the main story, etc etc. BG was full of these, and the expansion was a completely separate animal. In BG 2, it was more of the same. Back then, it was the pinnacle of exploration, now, it's boring?
To me, the side quests drive exploration of the areas they are in. While some are seen as pointless, such as the ram meat in the Hinterlands, which actually does something for the Inquisition while it's in it's infancy, others tell an interesting story about the areas you're in. Crestwood and The Hissing Wastes come to mind. I found the latter to be an interesting bit of lore concerning a dwarven thaig on the surface. Some people don't want lore about the world, and found it dry, I suppose, but I found it fascinating to discover even more about the world we thought we knew.
I never played Skyrim. I can't speak to the feeling of it being "just like Skyrim". What I can say, however, is that it's funny to me that people compare a fully modded Skyrim to Vanilla Inquisition. Why is that, I wonder? Is it because, on release, it needed mods for menus, combat and PC controls? I actually own Oblivion, but I have never completed it. The issues I was having, when I looked in to them were addressed with mods, and people were saying it was great, if you had 1K mods it needed. I can't say whether that's valid or not, I just know it never grabbed me. The same can be said with the Witcher games to date. I own both, but I have never finished either one. They just never grabbed my undivided attention, and me looking around 10 hours later wondering where the day went. I can't say the same thing for any of the games in the Dragon Age series. All three have had me wondering where the day went.