Tokguy, I've seen it done differently but what you describe would work. I would think "shrink fit" rather than "press fit"
The method I described involved silver soldering a piece of barrel metal into the chamber and reaming a 9x19 chamber after. The two pistols I saw done this way worked well. However, I believe the recoil springs were changed out for heavier springs.
I can respect your input on the topic. I sourced a bbl from a retired 'Smith. He said that's how he did them...it was a double deal..."go for it" I says