Except for those very narrow situations in which an applicant might qualify for urgent processing, virtually NOTHING will speed up the process. Generally it takes as long as the minimum processing time takes for routine processing. Nothing accelerating this.
There is a reason why most of the faster timelines are grouped close to one another.
Lots of things can slow the process. In respect to those things which can slow the process, sure there are circumstances which can reduce the risk of this or that slowing the process.
Being a member of NEXUS may help, in this latter regard, that is, it may help to avoid a FP request or something else which might involve a non-routine inquiry leading to a delay. Most do not suffer such a delay anyway.
Again, this would not accelerate the process, at least not compared to other routinely processed applications. But for some applicants it may help avoid a non-routine delay.
That said, being a member of NEXUS ordinarily does not occur in a vacuum. The reason why a person has NEXUS and the circumstances attendant its use will have more influence than just the fact of having or not having NEXUS.
The usual reasons for being a member of NEXUS relate to having ties in the U.S. which commonly entail frequently traveling to the U.S. While frequent travel in itself is probably not a negative factor, it is a risk factor for making mistakes in reporting travel dates, and mistakes are a big risk factor for non-routine processing. And of course the more ties abroad an applicant has, the more risk there is of non-routine processing (and of course ties in the U.S. are ties abroad). Moreover, even if frequent travel is not itself a negative factor, it can often be associated with risk factors, including indication of ties in the other country. Overall, the nature and frequency and purpose of the travel to the U.S. will vary greatly among different members of NEXUS, and likewise the risks of non-routine processing will vary accordingly.
Thus, while being a member of NEXUS itself is not at all likely to affect the processing timeline, there are many factors related to being a member of NEXUS which can . . . many of which probably lean in the direction of non-routine (thus slower) processing.