Mine Is my banking site, it lets you get in and sign in but when I go to my bill pay is when I am blocked cookies block
When I login to bank sites only block with Safari other browser work fine
MacBook Pro, OS X 10.11
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Others are seeing the same thing. It seems to be a bug in the newest Safari 13 version.
Block cookies is off but being limited by… - Apple Community
Use another browser until the problem is fixed.