I want to paint my entryway should it be lighter than the room next to

That is totally personal taste.

Only if you want it to be. As long as the colors compliment one another, that is all that matters.

Hello Diana! The entryway does not necessarily have to be lighter. Of course, if your entryway is tiny, lighter is better. But if not too small, a darker color can certainly make an impact. Click on the link and scroll through some of the photos of entryways.

https://www.sherwin-williams.com/homeowners/inspiration/gallery/interior-rooms/entryway

If it is darker than the next room.

Some people prefer an entryway that is light so people can see easily and keep it nice and clean. But use whatever color appeals to you. Do you want to continue the color theme you already have going?

This link will give you a great start.

http://www.housebeautiful.com/room-decorating/colors/g749/entryway-color/

i don't think there is a sEt in stone rule but if it's naturally a dark area, light paint will do wonders. Bottom line, it is a matter of choice.

Is that the way you like it ?? Don't "should" yourself