At present, when displaying videos hosted on popular platforms (eg. Youtube, Vimeo etc.), it is inevitable that the videos also show the platform brand logo and other branding hallmark (eg. colour, links, preview of other related videos etc.). There are no ways to display video in plain form without the platform brand hallmarks.
It would be awesome to have an Elfsight plugin that allows displaying of video on the popular (or any other!) platforms to show plain videos as in https://killerplayer.com/
Related SaaS app that display videos on popular platforms in plain form (and other selectable options) when embedded on a website/domain: