What is the name of this style?

Back in 2003 in Buenos Aires, I saw a way of dancing tango that touched my heart. It had (what I think) are the "4 elements of a good dance": 

• abrazo/conexión
• cadencia 
• musicalidad
• sinceridad

It was a style that drew you in instead of throwing moves and poses in your face. Here are two examples of it. My friends and I jokingly call it "Estilo Javier y Geraldine 2002 - 2005".....but what would you call it?  Do you have other examples of couples that dance this style?

Javier y Geraldine 

http://youtu.be/droR4oVglrA

Pipe y Mamie 

http://youtu.be/rrYznDthXcw