Do you think there is a lore?

I know there are people who are not convinced that there really is a lore/story line within The Sims games. On the other hand, I (and many other people) have valid reasons to affirm that the "lore of The Sims" goes beyond a theory and that there are verifiable stories in time within (although not all) of the games.

It must be admitted that in some cases it's normal to have suspicions. Many worlds of TS3, which is the one with the largest catalog of this, when thoroughly reviewed don't seem to or directly confirm that they don't occur in the same time space as Sunset Valley, for example, but add other explanations.

I have always believed, or at least since I got into this, that the people who didn't agree with it was because there was no way to logically fit TS4 into the story line without having to add it as an "alternative universe" annex (explanation given by fans and later taken over by Maxis). TS2, TS3 and even TS1 all follow a pretty solid story that TS4 just ignores.

But I can't put myself in everyone's mind, so I think the best thing to do is ask around in sim communities. Beyond what you guys do in your game (like killing Mortimer to marry Bella in TS1, even though in TS2 they had Alexander, because after all you are the player/god), do you think there is a lore that can be connected between the various games?

Edit: Since it seems that some things have been misunderstood, I'll try to explain it better. I'm not asking if there is a lore. As I wrote in the first paragraph, I know there is a lore.

My question is whether the general public believes in the stable story line between the games or, on the contrary, do they think it could be more of a coincidence, a wink or even putting in well-known sims as baits, but that there is not enough evidence of it.