Skinless chicken breasts from supermarkets never last until their sell-by-date. Or AIBU?

[SnowDin]

I have just opened a pack of 4 chicken breasts.

Bought on Nov 25th.
Today is Nov 27th.
They are dated until Nov 30th.

They still look nice and pink, but they have a very very slight whiff to them, and they feel ever so slightly more slippery than I am comfortable with.

Not sure if I am paranoid due to previous bad experiences.

Would you eat them?

I have this problem VERY regulary, so maybe I am expecting too much?

Do others find that their supermarket chicken is often not up to scratch?

I think people get too wound up about chicken, if it's in it sell by date or even a day out it will be fine. We breed our own we kill them and pluck them, then hang them in cool but not refrigerated cupboard under the stairs for a couple of days which is essential otherwise as if we didn't hang them they would be tough then after the 2 days gut them and either eat them, refrigerate them or freeze them but essentially for 2 days they are unrefridgerated to allow the hanging process and it is fine and dry. The smell and slimy feel comes from how they are packaged not because they are off. We do this whole process with our own birds and it doesn't bother me but the smell of packaged chicken as you open it normally really turns my stomach.
Dh also shoots ducks when shooting which he normally just hangs on the coat hooks in the hallway before gutting and plucking a day later, again all fine. When its off you will really know about it.

Other cultures wash their meat all the time with no problems.

Some packaged meat actually says about the smell on the packet.

We usually buy fresh meat and chicken but freeze it if it's not going to be cooked by the end of the following day. Can't afford to be binning food!