In 'Akame ga Kill', Tatsumi and Esdeath's relationship is complex. Esdeath falls deeply in love with Tatsumi. However, Tatsumi is on the side opposing Esdeath's cruel ways. Esdeath's love is intense but possessive. She tries to make Tatsumi hers, but Tatsumi is committed to his comrades and the revolution. Their love story is tragic as they are on opposite sides of a great conflict.
Tatsumi doesn't really welcome Esdeath's love. He sees her as an enemy due to her actions in the empire. Her brutal ways and her role in oppressing the people are things Tatsumi is fighting against, so he can't return her feelings of love.
Esdeath's demise in the manga is quite intense. It's a culmination of her actions and the circumstances she finds herself in. To get the full impact, you really need to delve into the manga pages.
Yes, she does. Her death is a significant event in the story and has a big impact on the plot and other characters. It's a turning point that adds depth to the narrative.