I am very positive about the name change and think that it is a great chance for Java EE Jakarta EE to distinguish itself from the past and become the platform of choice for enterprise developers.
With regard recruiters, I suspect it will be another 10 years before they learn the new name ;-) Having said that there probably are companies looking for people to support systems developed with J2EE and for many years to come there will be a need for Java EE 5/6/7 developers.
This is one of the things that really irritates me about the demise of printed periodicals.
Despite all my RSS feeds and daily net wanderings, I completely missed something that probably would have headlined any decent Java print magazine.
I also just made myself look like an idiot because Jakarta was originally an Apache sub-project (home to Tomcat, among other things), has had most of those projects migrate out of Jakarta, and thus I pompously declared that as far as I knew, there wasn't much left of the name.
As for recruiters and HR departments, I long ago gave up hope. COBAL (sic) programmers, 5 years Java experience demanded in 1996, demands that cannot be satisfied unless you bare-faced lie and "must-have" laundry lists requiring a statistically-improbable combination of skills and experience. I washed my hands of them years ago.
An IDE is no substitute for an Intelligent Developer.
Honestly, I'm not really happy of the name change, but that's a matter of personal taste. Java is a language more than twenty years old, and in my humble opinion Jakarta EE isn't an attractive name (or brand, not sure how to define it): it makes me think back at Java origins, when most - if not all - of the most promising and innovative project in Java ecosystem were hosted at Apache Foundation.
Something linked to a far past time.
I would have preferred something more brilliant... as I said before, these are just my humble opinions.