Is lament appropriate for Christians today?

That may be one definition, but it’s not really the biblical one. In the Bible lament is simply voicing your pain to God. In the minor prophet book Habakkuk, you have a dialogue between God and the prophet that is almost all lament. It ends with one of the most beautiful expressions of hope in Scripture:

Though the fig tree does not bud
and there are no grapes on the vines,
though the olive crop fails
and the fields produce no food,
though there are no sheep in the pen
and no cattle in the stalls,
yet I will rejoice in the Lord,
I will be joyful in God my Savior.
The Sovereign Lord is my strength;
he makes my feet like the feet of a deer,
he enables me to tread on the heights.

Well, that’s all fine and good, but you should be aware that is how most of the rest of the English speaking world does use the word. I just consulted several dictionaries. A lament is simply an expression of sorrow or grief. I think you are quite out of touch with how the word is used in Christian circles, where lament is definitely encouraged. See for example:

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