[pickers] Update pickers when new value has a distinct timezone

[alexfauquette]

Fix #7833

[mui-bot]

These are the results for the performance tests:

Test case	Unit	Min	Max	Median	Mean	σ
Filter 100k rows	ms	520.8	817.4	648.8	676.22	114.653
Sort 100k rows	ms	570.5	1,128.5	570.5	859.04	222.017
Select 100k rows	ms	163.3	250.4	218.5	210.14	28.5
Deselect 100k rows	ms	148.3	193.7	191.7	176.18	20.413

Generated by 🚫 dangerJS against 145b7cf

[flaviendelangle]

Is there a similar problem on the new fields or is it purely a mask issue ?

[alexfauquette]

Good points. It does not seem to be a problem in v6 @stem-ui If you could check v6 is working nice. Here is a codesandbox where you can switch between UTC and LA time zone. The field is correctly responding

https://codesandbox.io/s/friendly-wilbur-pjudi8?file=/demo.tsx

[LukasTy]

🙌 Could we maybe add a test case asserting this behaviour and potentially forward-porting it to next as well? 🤔

[stem-ui]

@alexfauquette , confirmed not an issue in v6

https://codesandbox.io/s/elated-austin-pld75s?file=/demo.tsx