The cause for these and similar imaging artifacts have to do with premature “flattening” of transparency in your content.
As others have suggested, the solution to this problem is to totally discontinue use of PDF/X-1a and use PDF/X-4.
And yes, InDesign (as well as Illustrator and Photoshop) offer PDF/X-4-based PDF export/save options!
PDF/X-4 maintains live transparency and ICC color management all the way to the final RIP/DFE/renderer. This is current best practice in the graphic arts / publishing industry. PDF/X-1a was great for late 1990s workflows in which all content is opaque and created in device-dependent CMYK color. Regrettably, there are Luddite print service providers and publications that have not kept up with reliable publishing workflows of this century and continue to foist use of out-of-date workflows. If you are encountering an absolute requirement for submitting PDF/X-1a, it may be time to find a new print service provider!