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We consider one-dimensional discrete Dirac models in vanishing randomenvironments. In a previous work [6], we showed that these models exhibit arich phase diagram in terms of their spectrum as a function of the rate ofdecay of the random potential.  This article is devoted to their spectral statistics. We show that therescaled spectrum converges to the clock process for fast decay and to theSchr\"odinger/Sine processes from random matrix theory for critical decay. Thisway, we recover all the regimes previously identified for the Anderson model ina similar context [25]. Poisson statistics, which should appear in the modelwith slow decay, are left as an open problem.  The core of the proof consists in a suitable scaling limit for the Pr\"uferphase and monotonicity arguments, yielding an alternative to the approach of[25]. For one of the models, we also obtain the scaling limit of the Pr\"uferradii and discuss the consequences for the limiting shape of theeigenfunctions.

One-dimensional Discrete Dirac Operators in a Decaying Random Potential II: Clock, Schr\"odinger and Sine statistics