First of all, these verbs are only marginally more intuitive than the existing git verbs. Git when it is confusing, is confusing because of the underlying interactions and concepts, not because "push" is too bewildering compared to "sync".

Second, is the global "tower of babel" noise that widespread adoption of this alternate vocabulary will cause less than the slight local reduction in noise from legit?

No. Basically, this isn't a good idea and I really really hope no one adopts this.