Yes, Carby Cleaner will work very well as it has very reactive ester molecules (hence the kinda aromatic smell), however it is quite expensive.
So if you are planning to remove lots of sound deadener, use cheaper hydrocarbons like kerosine to remove the initial coat then follow up with the carby cleaner to do the detailed stuff. If you really find that a part is quite stubborn, acetone may be an alternative, but use sparingly as it is quite aggressive.
An important note worth mentioning is that some sound deadening pre 1990, used tar in the mix with bitumen and some traces of heavy metals may also exist in the tar. Some sound deadening material may have become quite dry and brittle with age, be sure to wet these areas and wear a mask, and at no point try to sandpaper or grind these areas off without wearing protective equipment (I'm a big fan of PE as you can see :greenbounce: ).