I think you misunderstand the nature of our criticism. The inconsistencies and inaccuracies in Livy's material is really undeniable, being best illustrated in the Carthaginian histories, in which modern authors frequently have to take Polybios over Livy - the man personally lived through and participated in many of the histories he recounted, and traced the steps of many characters he described.

Now, you can't imagine that by acknowledging these errors, fabrications, or guesses we're all despairagement for Livy. His contribution to history is equally undenbiable, and though some of the details involved can be called in to question (indeed complaints are largely regarding details of events or subjects; not the basic outline), it's largely invaluable.