No, Obama's most fervent supporters want to hang Snowden for treason, and Greenwald along with him. They're quite happy to use the word "treason" for both of them.
Ever since the leak supporters of Obama on blogs and Twitter have been attacking Snowden and particularly Greenwald with ferocity. [1]
A derogatory term has recently been coined and is now being applied to anyone on the left who supports Snowden and Greenwald. This term, "emoprog," basically translates to "whiny progressive." The complaint is that emoprogs, instead of falling into line and unquestioningly supporting whatever Democrat is president, whine disloyally about principles said president is violating or not pursuing with enough vigor.
So no, Obama's most fervent supporters wish Snowden and the whole issue would just go away and find infuriating the disloyalty shown by Greenwald and his emoprog supporters.
[1] https://twitter.com/JeffersonObama/status/351829186991759360 https://twitter.com/Johngcole/status/349308095987593217 https://twitter.com/JeffersonObama/status/348879008747896833