Welcome to SRP!

There is a difference in how different blades shave but I wouldn't think it would be enough to have to change razors during the shave. If both blades were honed by the same vendor I believe I would contact them and mention my concerns. If they both were supposed to be as gssixgun stated 'Professionally Hand Honed to shave ready' a reputable vendor should offer to make things right.

Keep us posted on your results.