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Dear respected SB_384,
Good day! Thank you for posting to Microsoft Community. We are happy to help you.
As per your description, based on my test, it seems that I can also meet the same behaviour as like you described above. In SharePoint online list the "Clear Filters" option will show up when we apply Filter. However, when we add same SharePoint online list into List webpart, there is "Clear Filters" option button.
In a list web part (on the Modern page) to display the list, the filter options and "Clear filters" will be hidden in the top-left portion of the list.
We feel your pain due to this limitation and we’re really feel sorry for it. However, we appreciate your understanding. I do understand the inconvenience and apologize for it.
I believe Microsoft has been consistently modernizing various aspects of SharePoint site page, and it's possible that add Filter function in a List webpart may receive updates in the future.
Personally, I completely agree with you, this is indeed a good addition to the current features of Microsoft Office 365 application.
Meanwhile, as Microsoft get their attention is through the feedback mechanisms and Microsoft roll out feature requested from Microsoft 365 customers. I recommended you may also let your valuable Future request to Microsoft SharePoint produce developer related Team through the feedback mechanisms.
We sincerely recommend you, regarding to your concern, I request you, please send your feedback and write down what you want them to implement via this link:Microsoft SharePoint feedback portal, Microsoft product developers team monitor this site 24/7 and they will receive your request and put it into consideration. This is the best platform to let related team hear from you and make the products and services better for you and others.
We can expect this feature to be used in the future.
Again, I'm Really Sorry and I apologize for it.
Appreciate your patience and understanding and thank you for your time and cooperation.
Sincerely,
Waqas Muhammad