A freckle is just normal skin but with different pigment to it to what the rest of the skin is so there is no difference between a cut through them and elsewhere and they should also be treated the same way.
However, the picture you have shown is a
mole so can you clear up which it is as the two are difference. Moles are raised whereas freckles are not (though smaller moles may not be). Moles also are usually bigger than freckles and freckles are usually not much darker than your skin, maybe have a slightly orange appearance, whereas a mole tends to be dark brown as shown in the picture. You also tend to get multiple freckles in one area, often the face, where as though some people have a lot of moles, most only have a few. If it is a mole you need to keep an eye on it for any changes in size/ shape/ colour/ prominence/ if the edge is no longer as well marked. Yhe same as if you have others as areas with moles are more likely to develop skin cancer and also a mole appearing from nowhere is also something that needs to be checked up on if you haven't had one there before as that is also a sign (though not definite) of skin cancer.
I know I have diverted from the original topic but I just thought it was sensible for this to be said.
Cutting through moles can be more dangerous, yes, but not if really if there is no problem with the skin and they are not one that's a sign of cancer but it will still damage the structure of the mole but with harmless moles (of which you can never be totally certain), this would not cause a problem.