Are dishwashers worth it?

I've been told by two people they are not, as you still need to rinse the dishes beforehand? Is this true?

I suffer from chronic migraines so dishes often pile up during an attack. Are dishwashers worth it in a household setting?

Thank you!

EDIT: Wow, thank you so much for the overwhelming amount of responses. I didnt expect it at all. I will read them all, but just by first glances, I can tell modern dishwashers are very universally loved.

I've never used one in my 29 years of life but I can tell I've been missing out. Will definitely get one as soon as I move somewhere with the space. God bless you all and once again thank you for taking the time to answer my question 💖💖💖💖💖