Please don't forget that when converting from RGB to CMYK, an OutputIntent ICC color profile must always be present.
Otherwise, the software cannot perform reliable color conversion. A general CMYK is therefore not recommended.

Assessing the conversion only makes sense if you use calibrated devices. Because that's the only way you can judge colors.

In the screenshot we see the original image in RGB, in the second an export from Xara and in the third the export from Affinity.
With Affinity it doesn't matter which application the PDF is created from, Affinity only uses one PDF engine for all applications.

We only get true grayscale if we convert the image to gray beforehand. Either Photoshop, Affinity Photo, Corel Photo, Gimp etc.
can do this. In contrast to Affinity, Xara always converts a real grayscale image into CMYK and not just into the K channel as intended.
Even the open source software Scribus can do this. Why Xara doesn't offer this is beyond my knowledge.
I've asked Xara to change this so many times in the past, but in vain.

Click image for larger version. 

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