Connect Sharepoint calenders to outlook, can we modify the sharepoint calender from outlook


I have a sub-site inside a sharepoint on-premises 2013 team site, and i have enabled the “Offline Synchronization for External Lists” site feature. now from the sharepoint calendar >> I click on “Connect to outlook” , as follow:-

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and i got the calendar inside my out look, as follow:-

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but the issue is that i am unable to modify the sharepoint calendar from my outlook, as when hover over a date inside outlook, i did not get the “+ ADD” link. also when i did the connect >> i got this dialog which mentioned that my permission will be Read on the calendar (so is this related to my issue that i can not modify the sharepoint calendar from my outlook):- enter image description here