Ive never had any issues using a browning 78 falling block, (well other than its so pretty I'm constantly worried I may scratch it, or screw up the finish.)
the picture posted below is not my 300 wby , but it could be a clone, Ive ,loaded with 165 grain speer bullets,pushed to about 3100fps with a stiff load of H4831 and a 215 fed primer, has up to now had an un blemished record of DRT (DEAD RIGHT THERE) kills,
Ive used it for mule deer not elk, but to be fair I've used it mostly on mule deer, only because the ranges can in theory be longer and not because I would need the power the rifle has.
and ironically I rarely have taken shots at over 300 yards, and I doubt the total kill exceeded 12 mule deer that I've used it on, over the last 45 years..btw its a browning 78 with a 26" length barrel similar to this picture, that I had re-barreled by shillen in the 1970s

btw the extractor from a 7mm rem mag browning 78 and a re-chamber bit is all thats required to convert a 30/06 B78 to 300 WBY
but I found the fore arm needed bedding to return the rifles full accuracy potential after the re-chamber up-grade