I feel a need to interject into this thread since I am a member of the group that DOES play through the game and provide feedback on said content.
Pretty much the first thing any new QA member does is play through what content is there. We recognize that we only get one shot at the "fresh perspective" with a new tester. Now there's a window when this is most useful: Too soon and you don't really have systems in place and not much iteration has happened. Too late and stuff is locked down and simply cannot be changed unless it's a breaking issue.
Now, since someone asked, allow me to share:
I started on DAO in June 2009, which was towards the end of the project. So my job for two weeks was literally "Play DAO." Which was a bit surreal (I'm getting paid for this!) but it makes sense, as they need me to know what someone is talking about when they say "Nature of the Beast."
I played through DAO as a Male Human Noble Rogue. I found it fun, though perhaps more challenging until I got Wynne (I went to the Circle second). I try to playthrough in a "logical" manner, in that if I have Objective A and Objective B and A is on the way to B on the world map, I go to A first (Redcliffe).
In general, I prefer to play martial classes, so while running around in the DA games, I usually default to either the rogue or the warrior. Though I do mix it up more now since there's advantages to me seeing how it all works for all classes (note: I'm not actually a content tester, so any time I spend in game doing this stuff is typically while verifying something systemic and so forth. I'm not the type of QA that gets paid to just playthrough the game and provide feedback on the content, though I will send writing and design feedback if I notice anything

).
It CAN be tricky though, because not only when you play through the same content repeatedly skew your perspective on whether or not something is "fun" (it may be fun to start, but is it still fun the 100th time you've run through it?), there is also issues with understanding the motivations behind particular decisions.
I have no doubt that, compared to some, I am able to appreciate DA2 more simply because I know what was trying to be done in a particular situation, skewing my perspective on the actual system as it's in place. It's a challenge, and it is an effort to make sure things don't become pure autopilot. To say otherwise is just disingenuous.
Since I'm a Tech QA, I do have the advantage of being able to be surprised since I spend less time doing actual content. And, for example, I have given feedback on encounters that I find tedious when playing through the game. Where I could have done better was exploring the game more fully (I saw Act 1 waaaaaaay more than any of the other Acts, simply because when testing a system in game I knew where to find thorough tests of the system in a variety of places). There was some stuff that I definitely wish I had seen earlier in the dev cycle because when I finally experienced some of it, it was while reproducing critical issues during cert. Far too late to actually enact any changes.
Note that this is also why we do things like focus tests (which seem to be a curse word on these forums and many seem to think we shouldn't do them because they prevent true RPGs). There's also no shortage of people just in the company (there's a lot of people that work here) that don't typically play the game. I know many people on DA team that took part in ME3 playthroughs (I played through the first 30ish minutes in front of all the senior devs for it, and pointed out a lot of issues that I struggled with in terms of GUI and it was great to see them get remedied in the final project), and a lot of us actually took part in ME3 MP testing (to the point where it wasn't uncommon for people to just stay late and play it for fun).
But I digress....
I romanced Morrigan and in general got along really well with my party in both games. I never actually did a full "proper" playthrough of DA2 (I only did one of DAO, when I first started at BioWare), though I tended to gravitate towards sarcastic Hawke and Isabela as a romance (Isabela is my favourite NPC in the DA universe).
I'm usually the hero type that tries to save the day, but when push comes to shove I am able to make hard decisions and if someone wrongs me I can let my emotions get the better of me (i.e. punching Admirals in ME3). Speaking of ME3, I chose destroy. Though it'd probably be easier to look up one of my rather lengthy posts detailing why I liked it as an option and why I thought it was actually emotionally powerful. I say this with the belief that I found the endings to ME3 disappointing too.
That being said, while the repetition can sap some of the fun, seeing some stuff for the first time can be really freaking awesome. Crafting for DA3 has me super giddy. There's my tease for this post