Dutchman, What does the chart say? Does it say "uncompensated baro-vnav"?
When we design the procedure, there is the NA above and below temperatures. If you are between the NA above and NA below, the OCS has been validated to avoid the obstacles, from IF onwards.
In FAA land, the NA below takes you to a 2.75 degree glidepath (ICAO goes to a 2.5 GPA) The NA above takes to you a 3.5 GPA.
So uncompensated, you are between basically 2.5 and 3.5 degrees and the OCS has been validated for this.
Therefore, if you are within the temperature boundary, you do not need to correct the FAF nor the DA/MDA altitudes. Again, if the chart states uncompensated baro vnav, which I think they all do, or it is assumed uncomp.
IF you get outside the temperature limits, you must either not use the procedure or correct...
Bottom line, when you use the procedure, you do not have to compensate if you are within the temperature boundaries. IF your system has the ability to compensate, all the better, but not req'd. The FMS, not the driver outside of the FMS.
Keep in mind, if you simply add a factor to the altitude, say the FAF or DA, while your system remains uncompensated, that is a problem. This is why many ATC vectors will not allow for compensation, due to the blend of ac with the system ability or not, and not to rely on the drivers to be consistent in the correction .
Our company applies cold temp corrections on baro-VNAV, as of recently, to all altitudes below temp corrected MSA. That includes, step-down altitudes, FAF, DA - despite what the FCOM Supp. Proc. says and the reference to AMC.CAT.OP.MPA.
That is fine, as long as the ac system accepts the input. If it does not, and you are simply manually adding corrections, (not in the system) that is a problem. That means the ac thinks it it here, while you think it is there. Again, it depends on the level of automation and system capabilities. In your statement, who is providing or correcting the MSA temp?
If your FCOM says no, I am not sure what the question is here. I would be curious what your SOP then uses as the temperature limit before you decide to correct? You with AC?