Physically Unclonable Functions (PUFs) have emerged as an alternative to traditional Non-Volatile Memories in the field of lightweight hardware security. Recently, a novel PUF has been presented that uses the Random Telegraph Noise (RTN) phenomenon as the underlying source of entropy. While, in general, the nature of that entropy source largely dictates the quality of a PUF, little attention is often paid, however, to how the PUF architecture and its building blocks impact the PUF quality. This paper addresses the high-level design of the novel PUF to ascertain the extent of that impact and refine the building blocks specifications to mitigate it. Using high-level numerical and mixed-signal electrical simulations, the results demonstrate that it is very important to account for nonidealities in the PUF's building blocks to prevent PUF quality degradation.