Its not accurate.
Every pitcher in a modern bullpen will pitch in situations where their performance will impact the outcome. Multiple times over a season.
Starters average less than 6 IP per start. Teams get 10 or more outs on average from the pen every night. Most games are close. Relievers can't pitch every night. You're going to use all of them.
So, every reliever will pitch in situations where they impact the outcome.
Randy Dobnak entered a 2 run game in the 6th tonight. That's not low leverage, IYAM.
Similar situations occur regularly.
You can't get by with 3 guys who pitch every time the game is close.
They all will. Some more than others, but they all will.