I have no problem w/ BVG and have crossed cards over to SGC or PSA w/o an issue.
Others are still in their slab which is the sturdiest in the business.
Here's a Deacon White I picked up a couple years before his HOF induction in 2013.
Crossed it over for my SGC N284 Buchner set and it got the same SGC grade (40) as the BVG-3