Snip.
I still prefer the second method because the fence never has to be reset and you don’t have that repeatability issue to deal with.
Snip.
It's true that once the fence needs to be reset in the process, no matter what jig you use, the same thickness of the strips cannot be guaranteed. One can argue that the difference can be minor, but the difference is there, depending on how many strips/resetting you go through.
I have a sled with an adjustable shoe for cutting strips without resetting the fence, but as you said, it can't handle long strips:

The most accurate and consistent method is to rip strips by setting the fence to the required thickness, and keep it until all the strips are cut (method #1 in the Wood video). To overcome the control issues, I use a featherboard AND a push block that straddles both the strip and the blade as the stock is fed near the end. The WS block is shown below:

No burn marks whatsoever even for long strips -- provided the table saw is properly tuned.
The Micro jig Grr-ripper has a 1/8" leg to rip thin strips without moving the fence. But I don't consider 1/8" thin.
What about thin strips that don't require a 0.01mm tolerance? I use my featherboard (round cornered) in conjunction with the JessEm stock guides, which does require resetting the fence: