I have had both headstamps here - 7x57 and 275 Rigby on Hornady brass - Hornady did some batches like that when Ruger made a run of #1 rifles marked as "275 Rigby" - at least when I went looking for them. I think in old days, Germany and Spain loaded 173 grain or 175 grain as their standard military loading in 7x57 - British company Rigby was only legit importer of German made Mauser actions to Britain - and they marketed a "275 Rigby", maybe some of them as "High Velocity" - I think they used 140 grain bullets, with no other change to the 7x57 round - you most definitely use the same dies for reloading it. Depending on the brand and era of that factory ammo, it may or may not be to modern pressures - should be no more than SAAMI maximum, if it was made in or for USA.
SAAMI was formed in 1920's in USA - so depending on age of your rifle, might have been much older than that. I have a m93 style Mauser in 7x57 that was made in 1896 in Berlin, Germany - so perhaps 30 years before SAAMI existed. I do not know how the original German or Spanish (or Rigby's) breech pressure compared to modern SAAMI standards.
I suspect much old days pressure testing was done using the copper crusher measure - so should be reported as "Copper Units of Pressure - CUP", although some, like US Army, reported that as "Pounds per Square Inch - PSI". Modern pieziometric pressure testing also reports results as "PSI" - so is some room for confusion, if reader does not watch the units that are reported or the testing method that was used - is different process - gets different results - measure in different places in the chamber - but cartridge generating the same "pressure" - just is reported in several different ways, and is tested in different ways. British did altogether different - "tons per square inch" - was really an axial pressure test, not a radial test - challenged the lock up - I do not know how to convert "tons per square inch" to "pounds per square inch" - Long tons? Short tons? Same test place in chamber? Measuring the same thing?