It is difficult to answer with "yes" or "no".
There are four tones in Chinese.The first tone is high and level, the second raising, the third falling raising and the forth falling.
For example, "天"meaning "day" is first tone, high and level. But when being sung in song, it possibly could be low, falling, raising or first raising and then falling. It depends on the melody of the song.
Look,it sounds that the knowledge of the word tone is not necessary for singer's diction in Chinese.Maybe it is true. But the truth is that the words could be difficult to understand when a foreiger who has never studied Chinese singing, because he might pronounce the consonant and vowel wrong.
Sure, if he sing the song that every chinese kowns, the words will be understood no matter how bad he pronounces.
I guess so.