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In general, yes. each hotfix should have a note about if it's a fix for the appserver only, gui only or both. typically it's both. there's a setting in blasadmin that can limit what versions of the client can connect to your appserver, though i'm not sure if it's in 7.5 or later.
if you don't keep them in version sync you may end up w/ corrupted object or odd gui behaviour.