Not every one...
My 25-7 doesn't have "Colt" on the barrel. There's a big 45 Colt thread that you might be familiar with, that has pictures of a 25-7 without "Colt". The 25-7 seems to have barrel markings similar to the OP's revolver.
Greetings and welcome to the forum.
The model 625-3 was never produced in 45 Colt Cartridge, period.
Any revolver Smith & Wesson ever produced in 45 Colt said just that on the barrel 45 COLT CTG.
Allen Frame
My 25-7 doesn't have "Colt" on the barrel. There's a big 45 Colt thread that you might be familiar with, that has pictures of a 25-7 without "Colt". The 25-7 seems to have barrel markings similar to the OP's revolver.