Acquisition of minority stake impact on valuation

If a company acquires 20% of another company - how does this affect EV / EBITDA multiple of the acquirer?

I tend to think it shouldn't move EV / EBITDA multiple, as EBITDA stays unchanged and EV shouldn't change as this is not affecting value of the operating assets.

Does that make sense - if not, could you please let me know how to think about this?

Thank you !

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