We do 'covers' of almost all the leading contemporary stuff, Lincoln Brewster, Casting Crowns, David Crowder, Chris Tomlin, Unhindered, Mercy Me. I don't think that it all sounds homogeneous. We change tempos, keys, styles & I even change patches on my Vox Tonelab LE!
Now, granted, we have to make a deliberate effort to 'change up' our feel. Otherwise I find that, left unchecked, people will tend to gravitate towards one comfortable, familar feel.