While it's "generally" true that the larger the caliber the slower the twist for a round ball...BUT...depending on what you'll be using it for and the absolute degree of accuracy you "must have", are really the determining factors.
The mantra...often repeated blindly by a lot of people who read posts on the Internet...that round balls must have slow twists to be accurate is incorrect on it's face because it doesn't include qualification for which caliber is being discussed...because different caliber sized balls influence the twist requirement, "across the board generalizations" like that are wrong immediately...too much of a generalization.
Looked at the opposite way, you'll hear people say 1:48" twists don't shoot round balls accurately...a flat statement...without qualifying it by caliber.....yet for example, the 1:48" twist IS the round ball twist for a .40cal round ball...as you might be able to tell...and as evidenced by my "signatiure line" below...the mis-information posted then propated throughout the Internet on this subject of round ball accuracy & twist is simply incredible.
People I know who own fast twist .50cal rifles of a more modern pursuasion have been shocked to find that round balls were so accurate in them...and again, what is accuracy...what are you going to use the RBs for and what accuracy "must you have"...are you on a competition circuit where you need a micrometer to measure the differences in group sizes to win...or are you enjoying the hobby at a range and/or deer hunting where 1"-2" groups at 50yds are perfectly fine, etc.
I had a Green Mountain .62cal Flint smoothbore barrel that Ed Rayl in West VA. just finished rifling for me...UPS should deliver it this week...when I called him a month ago to arrange this, he asked what I'd be using it for, told him playing at the range and deer hunting here in the East...he said ".012" square bottom grooves with 1:72" twist".
While the .62 you referenced is a step faster twist at 1:48", if you're mainly going to use it at the range and deer hunting, I'd suggest a good snug patch ball combo and I'll bet lunch you'll be more satisfied with it's accuracy.
Let us know...