Israel invented the trumpet. The Egyptian word is thupar, a corruption of pronunciation for shofar. The first written occurrence of the word trumpet anywhere on earth, so far as I can trace is Ex. 19, when God blew on the mountain.
Actually it goes the other way, 2 Cor. 10:5. When David wrote for the stringed instrument, the "note of Ea" of the Sumerians became the song of God.
The worship instrument of Egypt was the sistrum, unknown in Israel.
Ancient Egypt: the Mythology - Sistrum
The flute is a separate case. It is never spoken of in the Bible in a good context. But it was used in the procession for water drawing on Sukkoth, and the Talmud tells us that "whoever has not seen joy (at this feast) has never seen joy". A flute is, as far as I know, the only intact and operating Israeli instument recovered so far by archeologists.
i'm not sure that enough records and objects survived the passage of time for us to be certain that the Israelites were the first to ever blow in an animal horn & make a noise, or to cast a metal horn, which i think is more likely to be what you are suggesting, but that's a pretty interesting thing to look into.
the Egyptian sistrum is much like a tambourine / timbrel --
what about Psalm 150:4 --
"Praise him with timbrel and dancing, praise him with the strings and the pipe!"
(in the NIV) -- that seems to be mentioning a "flute" (i.e. pipe) in a good light?
also Isaiah 30:29 -- "You will have a song, as in the night when a holy feast is kept, and with gladness of heart, as when one goes with a flute to come to YHWH's mountain, to Israel's Rock."
regardless, it is as you say, 'the other way around' --
1 Cor. 10:5
"we demolish arguments and every pretension that sets itself up against the knowledge of God, and we take captive every thought to make it obedient to Christ"
like the people called to him out of the gentiles - the "unclean vessels" put to holy purpose - if every meat is declared "clean" it seems to me declaring instruments "clean" or "unclean" is petty & the arguments don't hold water.
not every song in the Psalms or elsewhere in the scripture is a song of praise; there are songs calling for judgement, songs of lamenting and regret, songs crying for the destruction of enemies. If we are to be 'speaking to each other in psalms and spiritual songs' (Col. 3:16) i think we're talking about the prosperity gospel if such speech should always be sweet sounding, melodious & feel-good. there's certainly a time for instruction, rebuke, lament, etc.
here in this verse i don't think "sweet soul music" is what is called for; to me it sounds very "metal" in the colloquial sense:
Isaiah 58:1 --
Cry aloud, spare not;
Lift up your voice like a trumpet;
Tell My people their transgression,
And the house of Jacob their sins.