The one in 200mm twist,(1 in 8in) is the old European standard twist for the Swede military 6.5 x55mm rifles and carbines. They work well with 139 grain up to 160 grain bullets.
The later CG 63 rifles made in the 1960s for target work used a one in 220mm twist for the 139 grain boat-tails and a hot load.
For hunting within 300 yards with your Tikka I would personally use the 160 grain Hornady round nose soft point. That bullet is very similar to the Norma 156 grain round nose that the Swedes have used for over 100 years as a moose hunting cartridge.
The hunting load I use:
Hornady 160 grain RN softy point in .264 caliber.
46.0 grains of RL-22
CCI 200 primer
WW Brass or Norma Brass
light crimp into bullet cannelure
COL 3.00 in.
velocity 2,500 fps from a 23 inch barrel.
Shoots under half inch groups.
Now some folks think that they need a pointy boat-tail bullet for hunting. Which of course makes no sense since almost all ethical hunting is within 300 yards. But as some folks imagine themselves as snipers,
You can use 47.0 grains of RL-22 and a 139 or 140 grain soft point boat-tail.
It will give you 2,650 fps from a 23 inch barrel.
Federal also marketed some factory ammo with 140 grain partition bullets.
US made factory ammo is fairly underpowered. Also I would avoid the crappy Igmann ammo.
PMC makes some full jacketed 144 grain stuff that is very accurate out of all three of my Swede mausers. But for some reason they (PMC) did not make the brass in the correct diamensions, so it does not reload well.
Norma ammo is super, yet super expensive.
There are a few 120 grain bullets out there for light critters. Because you have the heavy bullet twist for shooting more game sized critters, you will probably need to load the Sierra 120 grain hpbt or the Nosler 120 grain ballistic tip boat-tail bullets for varmints. The extra length taken up by the boat-tail and the long nose (ogive) will help them work well in your rifle.
A load of 50 grains of RL 22 will give you 3,000 fps from your rifle. It is not a safe load for 100 year old 1896 Mausers.
47.0 grains of RL-19 will give you 2,850 fps from your rifle with a 120 grain Ballistic tip. And should give you groups under a half inch groups if you use federal match (non-mag) primers, Norma Brass (or new Winchester) and a COL of 3.100. A Lee factory crimp die really helps get maximum accuracy from hunting loads.