That's a great idea, but I would argue it should be higher for primaries, with 4 weapon types (special only has 3 and heavy just 2) being the biggest reason. 4 exotic autos, 3 exotic hand cannons, 2 exotic pulse rifles, 1 exotic scout, and then 1 each of sniper, shot gun, and fusion rifle. That's 13 right there, with another eight raid primaries, and 3 iron banner primaries. Throw in another 8 from both crucible and vanguard vendors, and another 4 for the three factions, that's a possible 50+ primaries, not including the pre DLC vanguard and crucible primaries.
Ya the number could be debatable.
Higher the better
But nonetheless the segregation of items saves the "memory" issue
No need to see it all at once
View by sections.