Yes, your comment about Bethel Music stands out. They are an intrabiblical cult so it does not surprise me that the words have no theology. I was at a Christian University for an event and the student band played "King of My Heart" (A Bethel song). As many people were raising their hands and swaying, I was laughing. I found the words so lacking that it became funny to consider the mindless drivel that expressed nothing of God's Sovereignty and everything about the human experience. Some people turned and glared at me while others likely thought it was "holy" laughter. I did write the school to express my philosophy of worship in music, but I received no response back.
My favorite contemporary worship groups are "Sovereign Grace Ministries" and "Indelible Grace." Both consider the words of a song to be extremely important in glorifying God. Check them out as an option.
For a time I attended a church that was very much into Bethel. Any time they wanted to use a song, if a version existed that was performed by Bethel or Jesus Culture they used it. The drivel that passed for worship there almost had to be seen to be believed - I find Bethel songs to be mostly tedious drivel but if you've ever seen what comes out of IHOP in Kansas City you wouldn't know whether to laugh or cry. For me the urge is twofold - partly to laugh at the idea that people could actually consider it worship, paired with crying at the fact people actually do consider it worship.
Their idea of "worship" seems to be little more than singing the same couple of lines over and over and over for 5-10 minutes, then shifting to another couple of lines repeated ad nauseum, and then repeating the whole thing ad nauseum.
With that church is was IHOP that had me thinking I couldn't stay around much longer and it was a "worship video" from Bethel that pushed me over the edge. I managed to tolerate it for nearly 10 minutes before walking out and even my wife gave up and left after about 40 minutes. That was the last service we attended at that church.
I'll have to look into the two groups you mention - in general I prefer more contemporary music to the more traditional hymns but so often find the more contemporary lyrics to be so lacking in theological meaning and prone to fall back on endless repetition.