It is common in church services for the songs being sung to be songs praising God.
Pagans did the same thing for their gods in order to gain favor for their list of requests.
There is nothing wrong with singing a song in praise of God.
Can't think of any instance of Pagan gods choosing to dialog with their worshipers.
Or, exposing themselves to trials in the world for the benefit of their worshipers.
Why should Christians simply mimic what Pagans do in their worship?
At least the 'Amazing grace' song acknowledges that there is more our connection with God than simply singing praises to God.
Even that song is strictly a one-dimensional remembrance of a gift from God prior to the singing of the song.
Why shouldn't our connection with God be more dynamic?
As I listen to common church service songs of praise to God, I can see the singers being moved by the words they are singing and Jesus smiling down upon them then some distraction catches Jesus's eye and, briefly, Jesus has a quick task to handle.
I'm betting there are some things we could do that Jesus wouldn't be distracted from them.
The 'Amazing grace' song is a reminder that our purpose on Earth is to practice consistent righteousness.
How about combining the theme in 'Amazing grace' with church service songs which illustrate how to consistently practice righteousness?
Remember the righteousness definition: you sin, immediately regret that sin, resolve not repeat that sin and ask forgiveness for that sin.
Consistent righteousness is why you enter heaven.
Isn't the purpose of church service songs to help you get into heaven?
After you accept Christ in your life, the next step is keeping Christ in your heart.
Take 'Amazing grace' and combine the desire to keep Christ in your heart in a church service song.
Some singers portray someone practicing righteousness and some singers portray Christ keeping them on track.
Sing that song and Christ will be nodding approval not just smiling.
There would be many more Christians consistently with Christ in their heart.
