Try to apply the filter to the worksheets you need to be affected by your slider and filter.
If it doesn't work, try to add the slider to another worksheet and then apply it to the sheet where your other list exists.
I hope it works.
Yes, I have tried that but it is not working.
In fitlers we have an option to show only relevant values & All values .
for year filter select Option All values ., for slider filter object select only relevant values.
It is not working that way.
I saw and it is working only when we click on the slider and it is updating. I think this is a bug.
I also tried, It seems to be a bug as mentioned by TG " working only when we click on the slider and it is updating" in Desktop version
Try to host this changes in tableau server and lets how it is updating there.
Yes u can achieve this by option "Only Relevant Value"
Drag your date filed in filter shelf 2 time- Year wise and Individual Date wise.
Please see below snap-shot->
Right click of 2nd filter from view pane and select the option "Only Relevant Value"
After that u will be able to get your order date list as per year(Order date) filter selection.