Those are the same thing.
We don't have studies for suppression and ghsv1 to know how much it reduces shedding, and the 4 days a year thing is really new, so I can't really answer that.
If you're having frequent OBs, we know that suppression can help with that. We know that suppression reduces shedding by about 50% in ghsv2, but don't know if it's less or more with ghsv1, which already sheds a lot less than ghsv2. If it works the same, you'd be down to 2 days a year.
We know that while using daily suppression with ghsv2, the transmission rates from female to male are about 2-3% a year (while also avoiding sex during OBs). Taking into account that ghsv1 sheds a lot less (HSV 2 genital 15-30% of days evaluated compared to HSV 1 genital 3-5% of days evaluated), using suppression for ghsv1 could reduce the already very low transmission rates even more.
Where did you see that study? Can you link it for me? I haven't seen it, and can't find it.
I found this one, but it doesn't give the figures you have - https://sti.bmj.com/content/93/Suppl_2/A24.3
In any case, even without that new study, we know shedding rates are these:
HSV 2 genital 15-30% of days evaluated
HSV 1 genital 3-5% of days evaluated
HSV 1 oral 25% of days evaluated
HSV 2 oral 1% of days evaluated
It's hard to transmit ghsv1 because it doesn't often recur - many people with ghsv1 only get the initial outbreak and no recurrences - and it sheds so infrequently compared to other hsv infections/locations.
Also, about half the adult population has hsv1 already, usually orally, and once you have hsv1 you can't get it again. If your partner already has hsv1, you can't transmit it to them.
It doesn't mean ghsv1 isn't infectious. It is. It's just really, really unlikely. If one person in the relationship has ghsv1, and the other partner doesn't have hsv1 already, you really just need to avoid sex during outbreaks.
Do you have ghsv1? If you do, you are worrying far too much about it. Ask your partner to test, or if they've ever had a cold sore. If they haven't, or can't remember, they can get a type specific IgG blood test. 90% of those with oral hsv1 will never get symptoms, so you can have it and not know.