Setting defaut colourspace for a pdf

Is there a way to 'force' a pdf to open with 'Adobe RGB' as it's default display profile?

I'm creating a document in Indesign (document set-up Web), with the Adobe RGB colour profile. I'm exporting it with No Colour conversion. This document will never see print.

When I open this in Acrobat the colours look dull - but when I manually change the 'simulation' to Adobe RGB they pop as they should.

I need the document to open in this way rather than having to ask my client to manually change it, but there doesn't seem to be a way to do this.

The RGB colors used are out of gamut for the CMYK space, so there's no suitable alternative. This choice is out of my control.