NAUI remains the only agency I know of that truly endorses deep stops on recreational dives.
The NAUI love affair with RGBM and the deep(er) stops that implies was quite passionate years ago, right now the RGBM exists as a "Supplement" and instructors are required to adhere to "current best practices" in deco theory. The supplements are all optional, existing to give teaching materials on topics but these can be left out on instructor discretion.
In practice, that means that a NAUI Instructor does not have to teach or advocate any bubble models if they don't want to. I expose my students to the controversy to prepare them to make educated decisions, as well as not being caught flatfooted when a dive buddy starts talking about deep stops etc.
It does take a fairly detailed reading of the standards etc to realise that they do not particularly advocate deep stops, at first glance there does seem to be a proliferation of RGBM materials.
As to the OP, there is a benefit to a "sanity stop" at some depth commensurate with the max depth of your dive. This allows the divers to stabilise ascents, get their heads together and reduces the average ascent rate (a potential issue with recreational students doing their first deeper dives).
On a 40m NDL dive, coming up to 12m, stopping for a few seconds to gather your wits and get your buoyancy stable, before ascending in increments to your safety stop, is not a bad practice. Doing any meaningful time at depth will in turn affect your saturation, which then in turn leads to a whole different risk/benefit analysis.
If I have Deep students who are planning to go into tech, I will stop (briefly) at 21m (70') on the ascent. From there, ascending and stopping at each 3m / 10' increment for a few seconds is helpful in getting tech procedures/muscle memory to begin to form. By "a few seconds" I mean enough time to stop, look at the other members of the team and signal ascent to the next "stop".