I can't speak for GLM as I haven't tested it much, but my experience with running DeepSeek V4 locally is the first time I prompted it with "Explain your capabilities to me", it responded that it was Gemini, a multi-modal model. I've seen others see the same with DSv4, as well as the "hallucinated" multi-modal nature. I would not be surprised if GLM similarly was partially (heavily?) distilled off of Gemini.

A fun test would be to compare the logits for "gemini", "claude", etc for a continuation of "I am " on all these models. I'm sure that e.g. GLM, Qwen, DS are dominant, but I'd be curious to see the next highest contenders, and how they compare to each other.

No, it's the same internally and externally.

Gemini 3.7 Flash is a pretty great model IMO. You shouldn't compare it to Opus, Sol, K3, etc since it's a much smaller model but it's a little better compared to Sonnet, Luna or Terra, etc.