I also have a A7 sako. I have only experienced tighter extractions of brass when I was at or little above reloading max specifactions. Brass also showed flattened primers and slight signs of case bulge.
I have never experienced the tight closure into battery that you speak of with factory loads. Only with my hand loads when experimenting with long over all length.
You purchased a sako......closing into battery with factory rounds should under no circumstance be difficult. I would look into warranty on your riffle or consult with a local gunsmith.
Hope it works out for you.
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