Draw a rectangle.
Convert object to path.
Select all the nodes with

In the control bar press the button that "Make[s] selected segments curves."
All the node handles appear.
Deselect completely, i.e. no nodes showing.
Select again and click on one or more nodes.
The node handles have disappeared!
(The same procedure in 48.1 at this point will show the node handles again. Yes! I know that these are production snapshots, etc., this is just curiosity, not complaint. )