I am facing the same grouping issue with EPS files downloaded from freepik. Has anyone come up with a solution -- using a third party converter or other method?
As an attempted workaround I opened the file in AI 2020 and re-saved it as an EPS format. I tried different variations of selecting options to Embed Fonts, Include Document Thumbnails, Include CMYK Postscipt in RGB files and include Compatible Gradient and Gradient Mesh Printing. The files was saved with TIFF (8-bit Color) Transparent with Medium Resolution. Adobe Postscript was set to LanguageLevel 2 (and to LanguageLevel 3 for some tests). See the attached picture with the EPS Save settings (several variations were tried).
No luck with results. The grouping problem still exists with the EPS files.
As noted by others -- I can convert to SVG within AI and import into Affinity Designer -- but am looking for some other possible solution which involves not using AI.