I am going to chime in and tell you what I know of the Swedish rifles and those made by husqvarna.
The difference between the Mauser 94 and Mauser 96 is in the number of vent holes in the bolt of the rifle. The 96 action should have three (3) vent holes, a small one (1) that points to the right on top of the bolt when closed. There are two (2) holes that go to the left side of the receiver when the bolt is closed; a small hole just behind the locking lugs and a larger one behind the extractor collar. The military actions also have the stripper clip guide on top of the action. The bolt is bent and thumb ring cutout is shallower on the original 94 action. The 96 bolt is straight and the thumb cut out is deeper. Some of these feature may be changed in rifles and carbines on different production runs and arsenal rebuilt. Remember these rifles were produced for more than fifty (50) years, some were even converted to M38 rifles after 1938.

Now for the husqvarna riles:
1-The Mauser 96 action with turndown bolt and thumb cut were used in the Model 46 and Model 46A and 46B. The difference being that the Model 46 has a very slim and trim stock with a rounded grip, it resembles a British rifle and the bolt has the knurled knob at the end of the bolt. The Model 46A and 46B has a Germanic stile stock with the characteristic Schnabel. The caliber were 6.5x55, 8x57,9.3x57 and 93.x62, there may be others but these are the ones I remember. These models were discontinued in 1939 or there about. These actions cock on closing and the bolt knob is round and smooth.
2-The Mauser 98 action from FN Belgium was used in the Model 146 caliber 9.3x57 and Model 246 caliber 9.3x62. These had the thumb cut and stripper clip, the bolt knob was cut flat at the bottom and checkered, the stock was the same Germanic stile as the Model 46A and 46B. These rifles started production in 1938? through 1941? don’t know the years exactly. Also some other caliber may possible have been produced, though I have not seen one actually confirmed. These actions cock on opening like all 98’s.
3-During WWII the actions from Belgium dried up. This was the time that the strengthened actions based on the old Model 96 were produced. And this is where it becomes really complicated since there are a multitude of different designs during and after the war. Some with the same model number but different action or variation of the actions were produced. Most of these rifles have beech wood rather than the walnut stocks in pre WWII guns.
4-After the WWII, FN actions were used in the 1950’s as the 640 series which also used the same model number for strengthened 96 actions, until they produced the Model 1600’s and Model 1900’s series for export market and simplified production.
5-You seem to have a Model 640? by the photos. Based on the Mauser 96 strengthened action which cocks on closing. Though there are not enough photos to tell. See link below to compare a similar rifle? I believe that in the 640 actions the bolt can be disassembled with your bare hands. Also when the safety is in the upright position the bolt taken out of the action the shroud should turn from its thread freely and be able to be taken out with the firing pin and disassembled like the husqvarna Models 46’s and military Mauser 96.
Link: https://www.simpsonltd.com/products/z35590
Be careful, because the same model numbers were used on Mauser 98 actions imported from FN after the war.

If you want to compare different models here is a link that shows many models and calibers at Simpson Ltd.
https://www.simpsonltd.com/collections/husqvarna-rifles

Perhaps one will match your rifle.
Hope this helps.