Inappropriate

 Whoever sings songs to a heavy heart is like one who takes off a garment on a cold day, and like vinegar on soda.
Proverbs 25:20 ESV https://bible.com/bible/59/pro.25.20.ESV

If you're feeling depressed, you're
not going to want to hear the latest popular music. If you're severely depressed or grieving, even funeral music and songs of lament aren't going to make you feel any better. Music tends to be an expression of joy rather than grief.

People grieve in different ways. Some appreciate lots of visitors to comfort them. Others prefer to be alone. But I doubt many people would want a song sung to them.

The best thing is probably to sit in silence and to listen. We're to rejoice with those who rejoice, and mourn with those who mourn. Solomon compares singing to the sad with taking off a coat on a cold day- not a pleasant experience.

As for vinegar on soda, that doesn't sound very appetising. In the West, death is taboo. I don't think we deal with the bereaved and mourning very well. We just want to shut them away.

"Dear Yahweh, thank You that You are sympathetic to us, in joy and in sorrow. Help us to be likewise, especially with the heavy hearted. In Christ's name, amen"