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I'm not sure what period they did JIS but it can't have been long. My frame & stickers looked near identical to this and it was JIS. I think it's early/mid 90s although I might be wrong. Easiest way to check the standard is to remove the crown race from the fork and measure the diameter of the fork crown "seat". Or try bang an old ISO race on it - it won't go.
If it is JIS there's nothing wrong with just keeping your headset, or buying another JIS one. Going ISO would give more options & might be cheaper.
Pretty sure my Galaxy takes normal ISO headsets... I've had 105, Campag and Chris King on there with no issues.