does the drummer and bassist always have to agree on which it is for a beat or is it ok for the bassist to play the "and' and the drums to play a straight 4/4?
"Lock with the drummer" is a non technical phrase that ultimately means "both sound like they are playing together"
(another phrase is sounding "tight" ) So there is no single "always do it like this" approach.
"Match the kick drum" is the beginner bass player 101 approach
when a player is new to the world of really listening to the drummer,
it is the simplest route to a good result
When you graduate from the 101 class, you develop a sense for matching the kick
when it matters
To me, I think either approach your video counts a "lock with the drummer"
because you are matching the kick
when it matters
Another "pocket" concept that I learned here on TB is "leave space for the snare"
right before the snare hit on 2 and 4 , mute the bass completely and make it silent
sounds good and teaches you to listen not only for when to start but when to stop
Both are introductory ideas to apply to the task of listening and playing more tightly with a drummer
I feel a bass player should always know what the drums are doing
And in a larger sense the goal is to master your own part so you can focus on listening and responding to everyone else.
It bears mention that the important voices of percussion to "lock" with will vary by style/genre
In rock or funk you respect the snare on 2 and 4
In Jazz you respect the hi-hat
In salsa you respect the Clave
respect meaning you match up
when it matters
etc