Is there significant risk in not keeping a theme updated? [closed]

Generally speaking outdated plugins are more of a risk, but themes should be updated.

The “heavier” the theme (more javascript, custom functions etc) the more likely it is to become a risk when out of date. Frankly it’s one good reason to code lean/mean themes yourself and not buy of the shelf, but that’s just my opinion.

The answer to your question then, yes is “It’s a risk”. But I wouldn’t not go as far as as saying “significant” (as opposed to the plugins)