You're seriously underrating the impact of Edler on the team's offense. I love Tanev, he is an absolute rock, and as you said a stabilizing presence, but I'm sick of people over-rating him to the point where they are willing to trade Edler but not Tanev. I'd rather move Tanev than Edler, but both are untouchable in my books.
Without Edler and maybe Hutton, our d-corps would provide no offensive presence. Tanev has shown offensive flashes, but that's it, he's 26 in a little over a week and his offensive play hasn't shown any signs of consistent improvement, he will likely never break 30 points, and never be the consistent PP threat. His shot has not improved at all.
You can say Edler consistently gets his shots blocked but as a poster above mentioned, he is not any more likely to have his shot blocked than the average PP d-man. Not to mention he is the only D-man on our team that has a threatening shot, even if he doesn't score a single goal off of it, the threat of a big shot changes how the Penalty kill plays us, his shot forces the high PKers to respect his shot, thus giving the Sedins more room to play with. With Tanev and Hamhuis, the PKers know the likely outcome is a pass and they can play tighter on the forwards.