I don't find her case compelling at all. Her examples make the conceptual students appear incredibly dense in their guesses. Her personally created examples for TERC illustrate an unrefined bumbling approach. Investigations is a philosophy of developing skills in algorithm development and fit finding; much more meta-skill focused.
That lattice method looks as silly as long division to my way of thiking, but ultimately I want a context where my son can have the freedom to discover his own methods and traditional math isn't it.