Thought that one on the left looked like a Swede when I saw a later reply. I have several of those, including one made for them by Mauser Obendorf in 1900. All of the serial numbered parts on it match, and it has a two digit serial number.
I also have one with an attractive elm stock.
The other military rifles I admire and shoot a lot are the Swiss straight pulls, the 1911 Schmidt Rubin and the K 31 rifles.
I too have a K31. I had a Swiss 96/11 but sold it. Here is something of interest. I tracked down the troop tag and got this response.
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