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If the Klingons were allies of the Federation since the 2340s and/2350s, and with the sacrifice of the USS Enterprise-C at Narendra III, would they honor said loss by naming one of their vessels IKS Qu' or IKS Tev' El, after the Klingon word for Enterprise?

I tend to doubt it. No matter how much they might respect and honor the sacrifice of the E-C crew, it still wouldn't be equivalent (in the Klingon mind) with the deeds of Klingons. Further, a Klingon politician might fairly worry about appearing weak/pandering/human-loving if he were to officiate over such a naming.

Think of it like the Tokugawa shogunate, which in many ways is a fair parallel. The Tokugawas were long willing to benefit from a trade monopoly with the Portuguese, Dutch, and English; but many - notably Ieyasu - were also just as willing to legally ban any gaijin influence which they saw as erosive to their way or no longer helpful to their political aims.

Ah. That makes sense