New answers tagged model-categories
Yeah, since colimits in infinity-categories are homotopy colimits.
Geoffroy Horel pointed out that this was proved by Hinich as Theorem A.3.2 in [Deformations of sheaves of algebras].
There is no word "strong" in Proposition A.2.8.2 in Lurie's HTT, at least in the version I have.
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