Intense copying questions

[FireCrafted]

I'm sorry I don't remember how to hyperlink creature names but say I have Sakashima the impostor in my hand. Lazav, dimir mastermind is on the battlefield under my control currently as himself. I play Sakashima and he enters as a copy of lazav but still with the name Sakashima and the bounce ability as well as lazavs hex proof and grave copy ability.

At this point they do not bomb each other, but if a creature my opponent controls were sent to the grave and both lazav and Sakashima became a copy of that creature, would they then bomb? Sakashima's name appears on the card text to only keep the name as he enters the field, while lazavs text (which is now on the Sakashima in play) says you may have lazav dimir mastermind become a copy of said creature except its name is *still* lazav gains hero of and this ability.

The "name is *still* lazav" even though the name is currently NOT lazav; it's Sakashima the impostor. Would Sakashima's name change to lazav as he used lazavs ability to shapeshift into another creature? Or would he remain Sakashima because the name doesn't change to lazav, it *remains* lazav, which would have no effect if the name was Not lazav. Which it is not.

[FireCrafted]

I'll repost it there, thank you.

Feel free to remove this op.