No need to be that concerned... it's not the usual wretched Flash, the kind of stuff you see on every fancy restaurant site.
I dug deeper, and it's all processing for that theme, Blissful. They're generating Flash code that makes the link text pretty. Definitely taking the long way home, though. The Blissful person presumably grabbed code from here and adapted it. In its time, it was cool because there were few fonts that worked across browsers, so websites tended to look the same.
If the settings for Blissful don't allow any text control from WP, I chastise them. :-)
In any case, like you probably feel, all caps is SHOUTING.
Now with embedded fonts being popular (I use them all the time when I code CSS), that much infrastructure is, IMO, not needed and overkill, albeit very pretty overkill. If you can live with that little Flash, and like other text effects, probably no need to throw the baby out with the bathwater.
PS: yeah, as far as I can tell, the only Flash is only on your Post title. Not too bad.