That would depend on whether or not the colours in your image exceeded the gamut limits of your output profile.
If you have defined one of your colours as L97a125b114, then, yes, you’d almost definitely see a difference as that colour should be outside the gamut of most any output device/profile (if said profile is of a physical, actual device which is currently available to the public at large - not some special, one-off prototype device which has almost magical properties, if the colour I mentioned is within its limit).
If you have a large number of colours which exceed the gamut of your output device/profile, again, you’d definitely see some differences between the various incarnations if your image. If you chose the Perceptual intent (and have just 1 single colour which exceeds the gamut of your output profile), it’s highly possible (and quite likely) that some number of colours that are within the gamut of your output device will also be shifted, and shifted to different resulting colours for each of your source profiles.
And hey, don’t sell yourself short, it’s not a basic question at all. Not to mention, it shows an inquisitive mind and it’s a great question, which would make me think that the person asking said question is going to be highly competent in the subject of colour management, if not already, then sometime soon.
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