It kind of depends on the context. What is it said in reply to? Usually it means 'I love you in spite of that', or 'I love you no matter what'. For example, if somebody says that they feel sad or embarrassed about something, the other person might reply 'I love you all the same' to mean 'That doesn't matter to me, I love you anyway'. Does that help at all? :)

It can mean that you either love someone even though they did something bad or whatever. Or in the more literal sense, it means you love everyone equally, depends on the context you use it in really

If this sentence is expressed towards more than one person or a group of people that it could mean that you are loved equally and fairly.

usually used to say that you love a person despite their flaws or imperfections.

“I love you all the same” can mean that you care strongly (or love) someone despite their faults or a mistake/error they have made. Hope this was helpful!