To each there own. I have liked some things Iger has done but he hasn't been particularly the best for the WDW parks. He sat and did nothing to them from 2005-2011.
To be precise he took over in 2006 not 2005.
I am trying to see things from your perspective about WDW so bear with me.
In many ways Iger inherited a mess from Eisner. His priorities (rightly so to me) were salvaging the relationship with Pixar. That brought many changes including Steve Jobs to be on the board of directors and John Lasseter as Chief Creative Officer (if memory serves). Not sure the year but they also started the process of Shanghai DL which for the company in general was brilliant but maybe not for DLR and WDW.
He also took on the StarWars (2008 ?) and Marvel (2009 ?) acquisitions, both, again brilliant moves for Disney. When you look at the last few years, Disney has been killing it at the box office with blockbuster after blockbuster like a machine.
As for the parks, Iger inherited a mess at DCA. DL itself was doing fine but (still) has had no major new rides since Indiana Jones in 1995. Yes really. They have made major upgrades to many rides (including a 2.5 year refurb on Space Mtn in 2003-2005), plus Star Tours 2. The closest thing to a major new ride is Buzz Lightyear Astro Blasters in 2005. This is till the case today. No major new rides for 22 years. Yes, 22. SWL will change that in 2019. But DCA was far and away Disney's weakest American park and frankly an embarrassment to Disney. It needed attention much more than WDW did.
In 2008 they opened Toy Story (Midway) Mania at both DHS and DCA. It was in late 2007 or early 2008 I believe when they announced the $1 billion investment into DCA (which ended up costing 1.2 billion reportedly) to basically retheme the entire park because of poor theming and weak attendance. That did not help WDW (not directly anyways) as Disney was focused on their grand new project CarsLand. John Lasseter and his team conceived the whole thing and to Iger's credit he gave the green light. There was a lot of work done on DCA (and a major new show World of Color in 2010) and this all came to fruition 5 years ago this month with the opening of CarsLand and the Buena Vista Street entrance in 2012.
During this time WDW got Expedition Everest (which would have been courtesy of Eisner not Iger as it opened in 2006). MK New FantasyLand got the green light in 2011 I believe. And Pandora in 2013 (if I recall).
But one of the good things for WDW that came from the whole CarsLand thing was Disney saw very clearly the power of their IP to create a new land and how it influenced opinion, attendance and revenue. My guess is this played a heavy role in influencing the decisions on Pandora at AK, Star Wars Land at DHS (and DL) and Toy Story Land at DHS. So WDW did benefit from all this and will see the full impact in 2019 after TSL and SWL have both opened.
Along the way Disney made the famous (or infamous) decision to pursue
MDE at WDW which as you know is rumored to have cost upwards of $2 billion. That obviously drew resources away from the things Disney fans want like rides and shows. Now that MDE is, for better or worse, behind us (as far as investment goes) Disney seems to be unleashing massive investments in new rides and shows at WDW.
Up until Pandora opened I would have still given DLR the edge on rides over WDW. Now with Pandora, WDW has IMO pulled even if not passed DLR. IMO WDW is still behind DLR on shows even with the addition of the excellent HEA and the lower key ROL. But I suspect this will change too as Disney continues to invest in WDW like they have in recent years. They just have so many directions they can go at WDW both geographically and with the variety of parks and themes there. It would be easy to put in GotG at WDW somewhere and make it fit. Probably DHS would be best. But at DLR they are more limited.
In hindsight I see your point that WDW did not see much in Iger's first 5 years (until 2011 by which I think you mean New FantasyLand). But then neither did DLR. They got TSMM like WDW did, plus the WOC show (which was huge BTW). DLR too did not see much from Iger directly until CarsLand and Buena Vista Street opened in 2012 (even though he made the call to go forward in 2007/2008). I guess we can say it took a little time for Iger to work out his plans into the parks at both WDW and DLR. And he also was not as focused on WDW as he was busy fixing other problems. As I said, those fixes did (or will) eventually benefit WDW. It just took awhile. To me it looks like Disney has turned huge focus onto WDW now to integrate all of the successful things they pursued in the first few years.