Yes, it's intriguing. What INR is supposed to relate to is the normal clotting time. So, if a particular incision would take 20 seconds to clot if your INR is 1.0, it'll take 40 seconds to clot with an INR of 2.0, and a minute to clot with an INR of 3.0 (and so on).
In the past, I've seen medical professionals begin to get concerned with INRs of 4 and above. They'll order lab work to verify that the meter is correct. They'll tell you to be especially careful. As the INRs continue to rise, the possibility of internal bleeding also increases. (I once had an INR of 7.1 -- the doctor told me to skip a dose and be EXTREMELY careful).
In my own experience, my incisions seem to close at what seems to be the same speed regardless of whether my INR is 2.0 or 3.5. Small wounds close pretty quickly, regardless of your INR.
(Is it possible that the redness on your face after shaving was some kind of allergy, or the result of a not so sharp razor?)