BetaCam is the professional and very successful cousin of BetaMax. It was/is a very robust system and it also hung on in there for much longer than you expect. It only disappeared from edit suites when HD became widespread and when laptops became powerful enough to easily handle edits cheaply. FinalCut Pro (as maligned as it is now by some) was revolutionary in the mid 00s because it was cheap, easy and highly portable. It made big inroads into news in particular in a lot of stations.
There are still probably a few linear edit suites using Sony BetaCam systems in use in libraries and archives and even analogue systems!
It was certainly still in widespread use in the late mid 2000s and it's absolutely still in use for library / archive purposes as many wouldn't have been converted to anything else.
You have to remember that massive disk storage capacity was expensive not all that long ago and digital tapes are still better for long term archiving purposes in many cases as they're reliable, cheap and you don't need fast access from a server.
Robust, high capacity storage in cameras has really only relatively recently moved from tape to solid state. Miniaturised versions of digiBeta were commonly used in professional cameras. Spinning HDDs were always too fragile and also noisy. If you shook or banged a camera (very possible in the field) you could wreck a HDD.
So it's really only since high capacity solid state stuff arrived that's changed. It used to be fairly normal to have someone "ingesting" material from cameras and other sources into a newsroom / studio server so it could be made available for editing. There were even analogue formats in use in the mid and even late 00s in some cases, especially before channels made the switch to HD. You'd never get away with analogue now as it would look horrible jarring.
As storage gets cheaper and cheaper a lot of this stuff is moving into data centre type setups.
Amazing how dramatically storage media has changed though.
I recently spoke to someone in a radio station who had never seen a minidisc and looked at me like I was talking about wax cylinders. They were still in widespread use by radio journalists the 2000s!!!