Beyond Ultimate Stats Tier

When a hunter has a purple-coloured stats, in other words an ultimate-tiered stats, can it go any higher? Presumably, no, but you have an Awakening Stone, check the hunter with an ultimate stats and you’ll still see a ‘:heavy_plus_sign:’ sign before. Meaning, you can somehow still increase it? If not, what will it say to you? A note or pop-up screen somehow?