If we are talking about the same Church of Christ, I thought that they literally followed the New Testament teachings, without addition or subtraction. For example, they have no instrumental music in their churches, because it is not mentioned in the New Testament.
After realizing what Jesus taught, this proved Paul a liar. Church of Christ doctrine is flawed because they place the teaching of Paul on equal par to the Teachings of God and Jesus. Your noting about no instrumental music is a good example to note the difference.
With the Teachings of Jesus, one has to accept God gave good info and Teachings and will not lie or defy His word.
So if God approved of instruments in the Hebrew Scripture, and even the Psalms, such as 150 - they are certainly permitted. God had unquestionably allowed their use in worship. For the Church of Christ to then deny the Teaching and Word of God on the subject - was based on things written by Paul - not any teaching of Jesus. In effect, they spurned the words of God to follow Paul - as they do the rest of their doctrines.
My brothers are still Church of Christ preachers. They are struggling with the new virus crisis because Paul said "not to forsake the assembly of the saints", especially as the see "the day approaching". For them, to miss a single service is to forsake the gospel of Jesus, because Paul said so. They believe Paul was sent by God for us poor Gentiles because the whole Jewish Law thing is just too much for our poor gentile souls to grasp!!! Paul was such an ignoramus that he didn't even know there is no singular "seed" in Hebrew - it's always plural, nor did God say man was "fallen" at Eden.
The whole non-instrumental thing goes back to the Civil War false accusations of the Southerners against the Northerners - over a simple little Melodian reed organ brought in to assist the congregation with singing hymns. Violation of testifying falsely of a fellow, as well as their coveting not having the means to attain their own Melodian or Reed Organ.
They, as the rest of Christianity, are deluded because they don't know God gave the Everlasting Covenant for men of all nations the day it was spoken by Him at Sinai. Those Teachings of God are easy to understand, do, and thereby realize God continues to bless those who do them and honor Him as the one true God.
I never realized these things until taking the Teachings of Jesus as literal and looking for ways to implement them into what I did and how I viewed various things in life. God has blessed me beyond what my imaginations were. Reality is much superior to blind faith and faith without substance.