When working with an RTN, there are always caveats. Typically nearest will be better, but it might depend on the available signals. If you're using a Triumph-LS Plus with multi-constellations, you're likely going to want the station that supports multi-constellation corrections. If the nearest is GPS+GLO only, then it's possibly not the best for your purposes. In general, I prefer my own base for several reasons. I do think that generally a given rover is going to give the best results with base data from the same brand. The way the receiver interprets data is still somewhat proprietary from what I can discern. There are generally accepted approaches to how signals are interpreted but it's not always a given. Those inconsistencies can lead to performance issues. RTNs are supposed to be designed to provide corrections that work with everyone, but I suspect there are performance gains to be had with keeping the base and rover in the same family. I also like having my own base, because I can remove some of the variables in RTK surveying: I know the source of the coordinate at the base, I know the corrections will be available when I arrive at my job site.
Having said that, I have deep appreciation for RTN's but I would never expect an RTN to provide the same level of performance as I will get with my own base.