Does the customer's original InDesign document have a mix of RGB and CMYK elements in it? It's possible the client artwork has some RGB elements in it, such as that orange gradient fill in the background. That element and others may be getting compressed and altered into CMYK color space during the PDF export process. Exaggerated color shifts get much worse if any transparency effects are involved. If a customer builds artwork in Illustrator or InDesign and uses various transparency effects and transparency blending modes there is really no choice but to keep the artwork in that color model (either CMYK or RGB) all the way to the RIP. Otherwise colors will shift pretty badly.
I really love CorelDRAW for certain kinds of design purposes, but I don't like how it handles gradient fills and transparency effects. I'll often build up a lot of the basics of a design in CorelDRAW, but then take it over into Illustrator to do all the final color work since Illustrator does a far better job with gradients and transparency effects. The only thing I like about CorelDRAW and its gradients is I can drag either end of a gradient fill annotator to any position across the object. Adobe Illustrator doesn't allow that; its current setup is just stupid. Even Affinity Designer will allow easier design work of gradient fills. But Illustrator does a better job outputting those gradients to print. CorelDRAW will often rasterize the damned fills -particularly if the gradient fill has any transparency levels in it. Illustrator keeps it all vector-based.
Anyway, when I get certain Adobe-flavored art files from clients those files confine me to doing all the work in an Adobe environment, be it Illustrator or InDesign. Things could be worse. I have far more hatred for Canva-generated artwork. The worst is all this AI-generated shit lately. ChatGPT needs to be renamed CheatGPT. And it's just jerk-off garbage that ends up being a time-vampire to fix.
BTW, InDesign does not generate edit-friendly PDF files. Those kinds of PDF files are often riddled with all kinds of garbage, be it multiple levels of nested clipping groups, various effects that are flattened and more. The Vector First Aid plugin can't fix all of those problems. Adobe Illustrator is really the only application that saves a PDF that can be edited further -but that's mainly because the app's default settings will append Illustrator data to a PDF.