Greasy Fork is available in English.
Скачать музыку, видео с vk.com (ВКонтакте) без использования внешних сервисов
< Feedback on Vk Media Downloader
Discovered that the buttons can still be found if one searches for a track, under the Music results section.
Does not seem to work with the latest version of Chrome, 108.0.5359.94 (Official Build) (arm64). There are no buttons any more at vk.com.