I am certainly biased by a passionate distaste for IP law in general, but I am honestly curious to hear the reasoning behind it in this case.
In case it helps: this is a "research prototype", so I'd assume that seeing one or more aspects used in a highly impactful paper would be about the best possible outcome. Is this about publish-or-perish stuff, perhaps (e.g. citation "importance" for the algos)? Or maybe you're okay with this in general, but are regretful because it's Anthropic in particular?
Seeing as the question posed out of "[honest curiosity]" to someone else is then immediately answered by yourself host without you even pausing to put on a sock, I think your honesty is very questionable.
I don't really understand what was "answered by [my]self host" nor what a "desite for exclusion" means but it seems beside the point I think. Also not sure what the alternative to curiosity is. Like, I'd be trying to entrap this prestigious researcher in some legal sense...?
Attribution is certainly polite, and I sorta doubt Anthropic of all groups is intentionally witholding it for h-score or prestige, but that's all a much lower-stakes conversation than potential license violations. AFAIU.