EPS is a zombie format that roams the world as the rotting corpse of a once useful graphics format. As @PrintDriver said, EPS doesn’t support transparency, which makes it all but useless since transparency is commonplace in today’s world. Another problem with using EPS files received from questionable sources is that one never knows what’s in the dang things. Most anything can be bundled up into EPS since the format was created to encapsulate almost anything into a single file that could be passed through the output RIP. In that sense, they were the prehistoric precursor of PDFs.
As for SVG, the format’s support for CMYK sort of sucks for reasons too numerous to mention, even though it supposedly has some built-in support for CMYK. I’m unsure what the current status of SVG 2 is regarding CMYK, but I wouldn’t trust it. SVG also supports Pantone colors, but again, I wouldn’t trust it. PrintDriver has more experience than I do with that, so I defer to his judgment.
SVG is primarily an RGB format, which isn’t necessarily a problem in printing since most CMYK RIPs can convert RGB to CMYK on the fly. Even so, I don’t like taking the chance that the conversion to the CMYK gamut will convert out-of-gamut RGB colors to something unacceptable. RGB works fine for digital printing since most digital printers can print an extended color space that isn’t strictly limited to CMYK colors. SVGs are perfect for digital mediums, like websites, where I’ve used them extensively.
SVGs were also designed to be slim, svelte, and small in size, making them perfect for websites, but I’ve found they sometimes fail for complicated vector imagery. However, that was several years ago. Perhaps SVG 2 does a better job, but again I wouldn’t trust it.
For all these reasons and many more, I don’t use Inkscape since it relies on SVG.
If I’m using Adobe’s Creative Cloud, Illustrator’s .ai format is best for vector files. In the Affinity suite, .afdesign is the default Affinity Designer vector format. When I receive an EPS file, I always open it in Illustrator to see what happens; then, if all is well, I’ll save it to .ai.