In the process of taking the little camps first you will have ended up taking a more damage in the long run. The only time it is okay to focus small monsters over large monsters are when you have an aoe skill that reduces the small monsters health low enough that it only takes one auto to kill them (Ex. a maxed alpha strike from Yi will leave small razors with under 70 hp around 3-4 clears in), and even when doing this you will still initiate on the larger creep first if that makes sense.
Secondly, every camp matters for different reasons, and your jungle route should never be a static two camp clear. Only clearing two camps also wastes a lot of travel and wait time. Krugs (Formerly double golems) is arguably the best camp for your first jungle clear because the stun every 5th auto delay the dmg on the larger monster (considering that's who you're using the stun on) giving an overall healthier clear (you walk away with more hp for less mana). Some will say Red buff is the strongest. To this, I would say Red buff is the strongest past first (second clear if you're farming til 6) as the %hp back is relevant at every point in the game and gives an instant value return (not over time like krug passive). On top of that, if you're starting your redside jungle, I recommend you early smite krugs, go razors second, then go red in which you will get your smite back up midway through camp. This gives you both of the strongest farm clear smite perks and level 3, setting you up for a better first clear, or with a healthy enough half clear to gank. After first clear, you can still squeeze in krugs (unless bot asks for it) because it is also the relatively easiest camp to kill. Gromp (Toad) gives you what is essentially a mini thornmail passive, which helps not only with clears but when dueling against invades (by you or them), and adding extra damage if you're the one being focused down while ganking a lane. The familiar ward for Wolves is perfect for if you see that your blue side is prone to being invaded by the enemy or if you want vision of where they deep warded. The least value smite imo if blue as mana return isn't that valuable unless you're in a situation where you immediately need it. Razors smite is ideal right before you're planning on taking an objective (to check drag for wards) or before you gank that way you'll know if you hit a ward on your way there and don't have to guess at where it was as you would have to with sweeper trinket.
Please try to avoid giving vague, blanket statements over intricate situations as it can lead to a lot of confusion and misplay.