What I coin as proper use is a barrel of sufficient length to make use of the case capacity. If I was building an Eastern hunting rifle I'd go 260 Remington with a 24" tube, building a Western hunting rifle I'd go 6.5 x 55 with a 28" tube.
You can certainly build a short barreled 6.5 x 55 but in my experiance with high pressure loads you get plenty of muzzle flash and blast, I tried it.
I find the 26 caliber projectiles interesting, you can achieve high sectional density and ballistic coefficient loads with relatively light projectiles, 129 and 140 grains, some in the 150 grain range for match work helping with recoil management.
However to achieve European Max and (for the lack of a better term) EM +P (non SAAMI or CIP pressures) and therefore velocities your powder burn rates are slower, near the slowest and therefore require a longer barrel to burn more of the powder in the barrel.
Therefore with pressures being equal, the 6.5 x 55 with a case capacity of 57.9 grains of water is a better choice for longer range rifles then the 260 Remington with a case capacity of 53.5 grains of water. Especially for hunting where retained energy at range comes into play. Both the 6.5 x 55 and 260 Remington stay supersonic past 1,000 yards I believe.
Using the 6.5 x 55 in a well made new modern bolt action is a great state of the art experience, of course that's just my opinion. My experience has me leaning toward that there are only 2 viable 6.5 MM cartridges, the King is the 6.5 x 55 and the Queen is the 260 Remington.
No doubt the Swede in a modern rifle is a treat to shoot.
The problem with crowning any cartridge a "king" based on your personal risk tolerance for pushing pressure is that is says nothing about the merits of the cartridge, but rather it says only how much risk you want to take. A similarly adventurous .260 shooter could push a 140 to 3000fps in 28". Does that make the 260 better? I've elsewhere linked a video of a 6.5 creedmoor pushing a 140gr bullet to >2800 in a 22" barrel. Does that make the creedmoor superior? NO. Because it only shows how far someone will push a round.
So your first premise of "with pressures being equal" is invalid. By design, the pressures are not equal. You are exceeding pressure for the 6.5x55, putting the thumb on the scale.
And 4gr more powder capacity isn't significant when--as you said yourself- burn rates are "slower, near the slowest."
Hodgdon data illustrates this point.
Hodgdon shows only two loads for the 6.5x55 capable of pushing 140gr over 2700fps in a standard barrel. One powder is the new StaBall 6.5, the other is IMR4831, not exactly a slow powder. The 4831 max charge is 46.3gr.
The next slowest Hodgdon power is H4831 (per their chart), giving a max MV of 2586-- a substantial drop-- at 47.0gr
Continuing down the burn rate chart, we get to IMR 4955: 46.3gr, 2684fps.
7828SSC: 48.2gr, 2678fps
IMR7977: 49.1gr, 2646fps.-- This charge is compressed, so there's no point in going slower on powder.
What the evidence says is pretty clear: The loss of burn speed (pressure) more than offsets the extra few grains of powder you can fit in the case. Even at 51.5gr of H1000, you STILL haven't increased the MV above what just 46.3gr of IMR4831 gave you. Again, you can't make up in charge weight what you lose in pressure. There's just not enough case there.
By contrast, the 260 will push a 140 to 2730fps with 50.5 grains of H1000. A grain less of the same powder and yet more speed.
There's no royalty here. Just flavors of excellence.