Chalk or slides for a job interview?
I think you lay it out just fine in your pro/con arguments. At the end, it is also a cultural thing: In pure math, for example, chalk talks are acceptable and not entirely uncommon. On the other hand, in applied math they are very uncommon and it would be rather surprising to see someone give a chalk talk -- to the point where people would wonder whether that is the person we would want to hire. I suspect that in other fields, that stigma is even stronger: Imagine someone in a business school giving a chalk talk.

So it depends a bit on the cultural norms in your field. I would think that a slide talk makes sure you're always on the right side. I will also point out that chalk talks have real issues with visuals. For example, if your hand writing is not extraordinary, some people may not be able to read what you have to say. Secondly, there is  the saying that a picture is as good as a thousand words -- but good pictures are just really hard to do on the board because (i) it is inherently 2d, and (ii) there is a limit to the complexity that you can reproduce on a board. If there is anything in your talk that could be presented in a visual way (and I would say that there is, even though I know nothing about your research area), then it's worth doing that in a visual way and that implies that you'd be better off with slides in most cases.