R-77 would also have substantially higher base drag from its short burn time
As for it being accurate, it exceeds the stated max range by both the manufacturers parent company and the export company by over 25% and is only ~10% away from the stated max range of the RVV-SD which has a larger motor.
I have my doubts that it performs that much better than the most up to date manufacturer claims, and I have SERIOUS doubts that a hand drawing in a book about missiles prior to the introduction of said missile, regardless of it already existing, with the drawing not even providing altitude, but providing a loosey goosey range estimate of “something beyond 80km” would be an accurate source on range.
I also have major doubts about the grid fins as a whole as they are typically used for ballistic missiles, reusable rockets, or unpowered bombs carried in internal stowage like on the B-2, NOT in air to air missiles. And despite all the advantages they are claimed to have, they are used on the R-77 and R-77-1 missiles only for air to air role afaik, with even the R-77M abandoning the grid fins DESPITE their largest advantage being their packing, which is critical for internal storage like on the Su-57, which they are designed for, and no other nations afaik using them either. It makes me question why they are almost entirely unseen in air to air missiles, even hypersonic ones like the R-37M which would presumably make use of them much better than the R-77.
My theory on the grid fins, through some cursory reading, is that they were more of a holdover from the missiles development, as it seems it initially began development to be the missile of a future jet replacing the MiG-29/Su-27, which eventually became the Berkut and eventually, the Su-57. A key feature here being that both the Su-47/57’s had internal weapons bay which happens to be what grid fins are ideal for (packing). From a quick read, grid fins offer no real drag difference from planar fins at most flight speeds (subsonic or supersonic), offer better drag and control at high supersonic speeds (defined by NASA as 3 < M <5) and SIGNIFICANT drag penalties at transonic speed ( 0.8 < M < 1.3) with it being considerably worse within the 1.0 < M < 1.3 range.
With this information, I suspect grid fins are not typically seen on air to air missiles because air to air missiles don’t typically spend extended periods of time between M3.0 and M5.0. This would explain why something like the R-77M, which I’d bet money has fins designed to fit within the Su-57’s internal storage space, abandons grid fins as its REAL advantage over plannar fins (packing) can be designed around. I also suspect that the advantage of grid fins in drag at high supersonic speeds is likely also drastically reduced, if not eliminated, by the substantial increase in base drag caused by the short motor burn.
I’ll also point out that grid fins drag in the transonic region is SO BAD they are used as airbrakes in application like reusable space rockets.