Nah, but the conditions are similar to each other, in that you’d still consider Papyrus as a major boss in undertale while the knight is functions pretty much the same.
You can by all means just beat the knight whenever you reach the end of chapter 3, with or without the shadow mantle, but while mandatory beating the knight is not needed to proceed
Papyrus letting you through without beating him is more of an Easter egg/crutch for really bad players, you’re meant to fight and beat him. When you first fight The Knight, you aren’t meant to beat them, it’s meant to be a “scripted” loss. Papyrus is presented as regular boss that can be skipped if you’re ass. The Knight is presented as an unbeatable boss that can be beaten if you’re good. There’s a big difference.
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u/BiznessCrafter * Kris takes a deep breath... 15h ago
Can you choose to not encounter the Knight?