Is a video sitemap enough for SEO or should video markup schema also be used?

I already implemented a video sitemap, based on Google’s recommendation. Now, I am reading about video markups. The only information, I got on the relationship of both approaches to each other, is:

Use both on-page markup and video sitemaps. A common scenario is to use on-page markup for all of your videos and a video sitemap to tell Google about any new, time-sensitive, or hard to find videos.

Afaik, the video sitemap is more widely supported among search engine providers, e.g. Bing seems to just start supporting JSON-LD.

Is there any reason that speaks for using video markups in addition to video sitemaps?