Pressures for the 6.5 Swede are limited because of the hundreds of thousands of old military surplus rifles on the market. Many of the M96 rifles date prior to WW1 and many of those were later converted to carbine length , on the same old receiver. Given that original military loadings from the WW1 era were actually quite mild, by today's standards, and the actions were designed to carry that load, and those old actions and their poor metallurgy have not gotten better in the last 100 years, you will not find any ammunition manufacturer advocating high pressure rounds.
I do have one bud who is still shooting a 6.5 X 55 cartridge in long range matches. His rifle is a M700 long action. Back in the day, if you wanted to shoot 6.5 mm, you shot the Swede or wild catted the 308 round to 6.5-08. The basic problem shooting long range at the time was the lack of good 6.5 caliber target bullets and the rules of the game which favored 308 bullets. If chambered in a modern action, and to me, modern is post WW2, there is no structural reason why the pressures on the 6.5 X 55 Swede cannot be safely bumped up to 6.5-08 (260 Rem) levels. Given the greater case capacity of the Swede, it should be able to push a 140 grain bullet faster than you could push the same bullet in the other 6.5 non magnum rounds.
A limitation with the Swede is that it requires a long action. A 6.5 Swede just overhangs the feed ramp in my M70 short action and therefore I would have to deep seat the bullet to get it to feed from the magazine or use the action as single shot only.
As a game round the 6.5 Swede is excellent even at military loadings. Bud's who have used it say it gives excellent penetration and knocks deer just as dead as any other round.