It's not clear that biathlon rifles shoot better than other rifles in colder temperatures due to any "choke" in the bore. Many non-biathlon rifles are said to have a choke also. Serious biathlon competition is dominated by Anschutz Fortner action rifles. They have a factory requirement to shoot a ten shot group from a vise at 50 meters that doesn't exceed 18 mm. Biathlon rifles shouldn't be expected to be more accurate than other non-biathlon specific rifles.
The key difference between biathlon ammo and other match ammo is in the MV. Biathlon ammo is a little faster. All SK and Lapua biathlon ammo are nominally "1106 fps", while other SK and Lapua .22LR match ammo is nominally 1073 fps. (Please note that the "1106 fps" and "1073 fps" are only factory estimated averages and like all .22LR ammo their actual MV will vary from lot-to-lot, between rounds, and from one rifle to the next, regardless of barrel length.)
Some biathlon ammo may have different lube that may be better performing in colder temps. At the same time, some ammo, like the apparently now-discontinued Lapua Biathlon Xtreme, has a different propellant. It's unclear whether Lapua Polar Biathlon, which is the most commonly used biathlon ammo, has propellant that's made specifically for colder temps. The bullets used on the Lapua biathlon ammos is differently shaped than other Lapua ammos such as Center X, Midas +, and X-Act, all of which use the same bullet and are. The biathlon bullet is shaped to offer better loading in biathlon's repeating rifles.
SK Biathlon Sport is the same as SK's other "1106 fps" varieties, SK Long Range Match and SK Pistol Match Special. It uses the same bullet, lube, propellant, priming material, and casings as Long Range Match and Pistol Match Special. The only difference between the SK 1106 fps ammos is the packaging and the criteria used by SK to grade it into the different varieties of SK 1106 fps ammos.
As with all .22LR match ammos, performance will vary by lot. In other words, some lots will shoot better or worse. Performance in warmer temperatures should be similar, but shooters should always expect slower MVs when temperatures are colder -- regardless whether the ammo is "biathlon" or not.