There is something hidden in those things that I think the Lord hides from a "genuine" seeker. He can draw people out of stuff like that just like he can anything else.
I have been decidedly turned off by the groups you have mentioned. Bethel was almost instant, and hillsong was pretty slow because I really like Hosanna when I was 16. Some of their other stuff I can recall from that time period in my life and for some reason it felt incorrect and I couldn't jive/worship to it. It could have been I had an issue with "party songs" but it was the almost one-dimensional nature that bothered me.
I won't go to far in depth because everyone is on a different point in their journey to where the Lord wants them in life but "seeker" means way to much at present to speak to.
I myself am a seeker (Ask, seek, knock) and life is a constant adventure (good and bad) of searching for the Lord. How to live in this world and not be "of" it. What he is "in" directly and what he is in "indirectly" and also what is strictly off-limits, with
very severe consequences at best.
I seek him in old hymns and songs from my childhood (which is the 90s). It's around the start of the millenium that the music started going a strange direction from what I heard.
I have a list, but some just instantly put a frown on my face. It's almost like moving into a smoke-filled room...tolerable but for music, not worship. I don't know many people that would associate a church service with a smoke filled sanctuary. The church isn't a bar or a club.
Can the Lord meet you in said bar (analogy)? Yes, he "can" and he "may" but I cannot state that it is alright to perpetuate such a system. I've been to quite a few places that the Lord has opened my eyes to the evil as well as the tragedy of their almost futile search...it makes me sad.
but so also, because I have felt this way, I know there are ministry grounds a lot of places. These groups seem ripe for evangelism within these groups unofficially.
Please bear in mind, these things only appear to be milk to me and quite frankly, I think that milk is sour, if not almost entirely indigestible.
Work out your own salvation, with fear and trembling. Be vigilant, if it speaks to you and your heart is there right now, there is always further to go.
There were times where some music has made me feel on a mountaintop...but we don't get to stay there (see the transfiguration). This was impressed on me in my teens. Worship in spirit and in truth, let the Lord take it from there