I do share your concerns. In this case the names were actually changed to absorb these young men in Babylonian culture and worship.
On the other hand nowadays names are used to identify people or places.
Example in North France there is a city called Lille. In Dutch this city is called 'Rijsel'. So the name doesn't look at all like the actual French name. Still it refers to the same city.
The same with names.
These 3 men who were loyal to Jehovah are known by most people by their Babylonian names. When hearing these names people think about the young men who refused to bow down to the idol of the Babylonians.
The same is also true for the original names in the Bible. It's difficult to know how some names might have been pronounced in ancient times. The names have been translated to different languages to make it easier.
Even if we would know the exact pronunciation, we all have different accents that would still make it sound different.
Most important for me is what these people stand for. How they showed their strong faith.
Nice post. This thanks