Arguably, yes, but why split hairs? Should 2003 to 2005 be known as Taufik Hidayat - Young Lin Dan ERA ? How about 2015, Chen Long's ERA, anybody else came close and deserved to have his name added after Chen Long's ? What about 2014 when it was Chen Long who won the WC that year beating LCW who was then suspended for doping offence (the absence of Lin Dan for most of the year discounted him and he also didn't play the 2014 WC for lack of a wild card entry) ?
Frankly, though a bit reluctant, I'm willing to accept LCW's name added after Lin Dan's for he (LCW) is his most worthy opponent and closest rival but their lop-sided H2H in LD's favour doesn't seem to warrant it. Besides, Lin Dan's consistent victories in all the majors over LCW cannot be attributed to a bit of luck - for one or two occasions maybe but not every single time, the scoreline notwithstanding whether it's a close affair or comprehensive victory by Lin Dan.
I mean, in common practice, we named an era after the most prominent feature, a defining event, a unique circumstance, an outstanding figure whose achievements are unsurpassed, or an outstanding personality who stands out from the rest. Therefore, by calling it Lin Dan and LCW era is to imply that honours are shared between them, are they ? Lin Dan as we know owns 5 WC, 2 OG, 4 AG,and 6 AE if you like, not to mention several team championships. LCW, 3 WC runner-ups, 2 OG silvers, 3 AE. Incidentally,Chen Long has 2 WC outright and 2 AE over a shorter period and mid-way in his career.
As such, strictly speaking, that era 2006 - 2013/14 rightly bears Lin Dan's name alone, imho. That in no way diminish LCW's greatness for his name will forever be associated with Lin Dan's as his perpetual archrival to a considerable extent and more so than a few other big names like Taufik Hidayat,Peter Gade, Chen Long,Lee Hyun Il, as well as several lesser ones.