As long as that accountability is to the LORD, according to His Word, I have no problem with non-denominational churches. In fact, we plan on attending a certain one in our town, as soon as they are moved into their building. I long ago gave up the notion that there is only one denomination that is the true church. The Church is the body of Christ, wherever they may meet for worship. There’s always going to be error in our teaching, wherever we worship, because we aren’t perfect. My main tenets are, what does the Bible say?, and Jesus Christ and Him crucified. Everything else is gravy.
>>My main tenets are, what does the Bible say?<<
When I hear someone say tha it always makes me question their sincerity since anyone with a normally functioning brain knows that there is nothing more controversial on planet Earth than what the Bible says!