I think the answer is "Mostly yes, but somewhat no"-- or maybe "Mostly no, but somewhat yes."
I should point out that I've never owned or operated a keyboard that has the Music Finder feature, so I'm going by secondhand information, or what I've heard about it.
One way to look at it is that Music Finder is a souped-up version of Music Database-- Music Database on steroids, as it were. Music Finder is arguably much more powerful and flexible than Music Database, because you can create your own entries, or modify the existing entries-- and I believe the entries contain more parameters than Music Database entries do, because the keyboards that have the Music Finder feature have more adjustable parameters than do the keyboards that have the Music Database feature.
The other way to look at it is that Music Database is a simplified version of Music Finder-- Music Finder for kiddies, as it were. That might sound like an unkind way to characterize it, because kids are not the only people who use the keyboards that have the Music Database feature on them; adults do, too! I should know, because I own a number of such keyboards, and I'm definitely an adult. But let's face it-- the keyboards that have the Music Database feature are mainly marketed toward children and young adults, whereas the keyboards that have the Music Finder feature are mainly marketed toward adults. It's not that adults can't enjoy them, too; it's more a question of price, number of features, and the complexity of those features.