The word 'lyrical' has both a literal and an implied meaning. It's a reference to the lyrics of songs, meaning the usage is stylized, and often romantic. The context is qualified by the descriptors used or in context with the subject of which the word is a description. To say someone writes or speaks lyrically on a subject is often a sarcastic remark, either referring to the type of usage as non-lyrical, or cynically describing the lyrical expression.
Examples of Lyrical:
Literal: The critics were positively lyrical about the new toothpaste.|
Negative: Honestly, I don't see how a paragraph of three and four word sentences could be described as 'lyrical'.
Sarcastic: You've said you know nothing about the incident. I don't think you can be accused of waxing lyrical.