No, that's decidedly not what is happening here.
One is saying "I've seen an LLM spectacularly fail at basic reasoning enough times to know that LLMs don't have a general ability to think" (but they can sometimes reproduce the appearance of doing so).
The other is trying to generalize "I've seen LLMs produce convincing thought processes therefore LLMs have the general ability to think" (and not just occasionally reproduce the appearance of doing so).
And indeed, only one of these is a valid generalization.
When we say "think" in this context, do we just mean generalize? LLMs clearly generalize (you can give one a problem that is not exactly in it's training data and it can solve it), but perhaps not to the extent a human can. But then we're talking about degrees. If it was able to generalize at a higher level of abstraction maybe more people would regard it as "thinking".