I don't know about 3 blades. some people will get a second if they are behind. but 3 would delay your core build too much.
People who are getting 2-3 rings are probably doing so in lieu of a normal Mana Item. A lot of these champs can kill their opponents before mana ever becomes a problem.
I don't know where the argument of Vald Counters Riven. If you try that matchup, you would have to pool before she does her ki burst, to prevent from getting hammered. But with Riven's lack of sustain, you should do fairly well if you can avoid getting bursted down. in which, Vlad would win the extended trade.
From what I remember, Vladamir counter's Tanks, because Tanks lack the Bursting power to really punish Vlad's weak early game. while Vlad slowly sustains of the enemy.