Southern ocean explorer logs

I've seen a lot of videos that assert that in the logs of various explorers of the southern ocean, including James Cook and James Clark Ross, there are confused entries saying they are inexplicably less advanced on their route than expected. This is presented as evidence that the route to circumnavigate Antarctica is much longer than presented on the globe model. I tracked down a copy of Clark Ross's ship log (or possibly one of many) and was unable to find such entries. I suspect it was not the correct log. Can anyone point me to to correct logs or provide citations of same? The videos where these evidences are presented never give citations. Thanks in advance to anyone who can help

When did the Antarctic ocean become the southern ocean? Seems not so legit.

It seems that you have the question backwards.  It's more like when did the southern ocean become the Antarctic ocean?

"Southern Ocean" is an obsolete name for the Pacific Ocean or South Pacific, coined by the Spanish explorer Vasco Núñez de Balboa, the first European to discover the Pacific, who approached it from the north in Panama.[24] The "South Seas" is a less archaic synonym.

Growing up we had 4 oceans. Now it seems the earth has 5.

"Southern Ocean" is a universally understood term. Earth has an ocean. People like to name things so we give names to specific regions of it, such as "Pacific," "Atlantic," Indian," etc. The question was asked about James Cook's and James Clark Ross's ships' logs. Quibbling about the name of the ocean is a pointless distraction. Lots of things have been given different names by different people. Can anybody cite the specific logs that some folks have claimed (without citation!) to prove that Cook and/or Ross had to sail farther than they expected?

I've seen a lot of videos that assert that in the logs of various explorers of the southern ocean, including James Cook and James Clark Ross, there are confused entries saying they are inexplicably less advanced on their route than expected. This is presented as evidence that the route to circumnavigate Antarctica is much longer than presented on the globe model. I tracked down a copy of Clark Ross's ship log (or possibly one of many) and was unable to find such entries. I suspect it was not the correct log. Can anyone point me to to correct logs or provide citations of same? The videos where these evidences are presented never give citations. Thanks in advance to anyone who can help

I'd visit a library and see if you can maybe find a copy of them on interlibrary loan, but I'd love to see what you come up with.