It's not black and white but a corful journey of people I know have great potential but cannot just step in to those roles without testing.
There is some context for them being kind of... more brazen versions of the TOS people.
Kelvin Kirk is kind of justified in his arrogance. He's always succeeded. He's a starship Captain quite literally immediately after graduating the Academy. He's never been humbled. Perhaps Post-Beyond, having lost the Enterprise and countless crew, he may have finally found his humbling moment.
The rest of the crew are in similar boats but different circumstances. Scotty is... potentially unstable from his isolation on Delta Vega. He's not really used to interacting with people other than Keenser. I think that's also an important element of their relationship... Scotty was sent there as a punishment... which would lead to me to believe Keenser was as well. Those two kind of formed a bond through shared misery.
McCoy is... McCoy.
Watch TOS 'All our yesterdays'
Yeah but take the context into consideration there. Spock isn't really in his right mind. He's agitated and almost emotional... I don't take that quote as Spock truly thinking McCoy is racist and that he really doesn't like it, it feels to me more like a "read the room, not right now."