I remember trying to make a print on Agfa Brovira with a negative that printed beautifully on DuPont Velour Black #3, which had been discontinued. Could not do it. Highlights would not print right. Too light. I tried several grades. No luck. Finally found that Ilfobrom #3 was as good as the DuPont. But it too is now gone.
Well you are describing a situation where one wants the overall contrast of a grade 3 but the highlights go too bright. Today with split printing you could start with lets say a grade 1.5 contrast filter, get your highlights printing correctly and then with Grade 5 allow the contrast to come up to your overall contrast you wanted.
or
You could start at grade 4 and bring in strong low to mid tones and then with a 0 filter expose for the highlights. you have established a way to get to the same point with two filters.
Of course in both scenarios one could dodge the areas printing too dark and as well use your burning skills to fill in blanks.
When I have an extreme negative (street photographer) bright side light in a big city I used the following methods to bring in a building what was not apparent in her book which was done by another printer.
Step one- establish a flash for the whole paper which basically excites the paper emulsion but is not fogging , ( close but not showing tone)
Step two - pick a low filter that represents the midtones to upper highlights and bring in the scene. During this step I will be burning in the very burned out or clipped out region of the print with additional hits of 00 filter.
Step three- pick a grade 5 filter and bring in the black , shadow - mid to your desired densities- at this stage us the burn tool to bring out the highlight regions, ie any area of the building which is gray will start showing
itself as detail- During this grade 5 exposure you will need to be a master of the dodging tool so that the overall gradient looks natural.
Now I know for sure that when this print was made the curator asked me if I printed the correct negative as there was more detail in my print than the book print.
If this is not split filter printing and is not an obvious example of how a single grade filter could not make the print then I will back off this conversation. ( Split filter printing is never easy when carving out an image, you need
a solid plan and once you have learned how to execute that plan you are off to the races.
Sudek never needed to split print , Lillian Bassman had her approach and I believe she created her masterpieces with red coccine and graded paper. Karsh dye retouched all his film but used graded paper.
I love all approaches and all the old papers but unfortunately those days have left us, luckily we have Ilford fibre papers. I have now SPLIT my time between silver and gum over palladiums. (now this is probably the most creative processes I have ever tried and I love it.