Hi,

There seems to be a bug in Org mode version 9.4.6 (9.4.6-gcf30f7: EXPORT_OPTIONS (at least p for with-planning) is only respected if there is no planning date placed above the properties drawer.

>>>
* TODO export options
:PROPERTIES:
:EXPORT_OPTIONS: p:nil
:END:
SCHEDULED: <2021-06-08 Di.>
** TODO l1
:PROPERTIES:
:EXPORT_OPTIONS: p:t
:END:
SCHEDULED: <2021-06-08 Di.>
*** TODO l2
SCHEDULED: <2021-06-08 Di.>
**** TODO l3
:PROPERTIES:
:EXPORT_OPTIONS: p:nil
:END:
SCHEDULED: <2021-06-08 Di.>
***** TODO l4
SCHEDULED: <2021-06-08 Di.>
<<<

produces the somehow expected behavior:
>>>
SCHEDULED: <2021-06-08>


TODO l1
=======

  SCHEDULED: <2021-06-08>


TODO l2
~~~~~~~

TODO l3
-------

  SCHEDULED: <2021-06-08>


* TODO l4
<<<

But it is syntactically incorrect since the planning dates have to be the first line below the heading. For the following syntactically correct snippet the export_options are ignored:
>>>
* TODO export options
SCHEDULED: <2021-06-08 Di.>
:PROPERTIES:
:EXPORT_OPTIONS: p:nil
:END:
** TODO l1
SCHEDULED: <2021-06-08 Di.>
:PROPERTIES:
:EXPORT_OPTIONS: p:t
:END:
*** TODO l2
SCHEDULED: <2021-06-08 Di.>
**** TODO l3
SCHEDULED: <2021-06-08 Di.>
:PROPERTIES:
:EXPORT_OPTIONS: p:nil
:END:
***** TODO l4
SCHEDULED: <2021-06-08 Di.>
<<<

>>>
TODO l1
=======

TODO l2
~~~~~~~

TODO l3
-------

* TODO l4
<<<

Same behavior I see with HTML export.