Hello,

It is not mandatory that your correspondence address and the address on the Aadhaar card must be same. Aadhaar card is considered as photo identity and not as address proof. In NEET online application form you can give the current address in the correspondence address field. The correspondence address and the permanent address is for communication purpose if any. And EWS certificate is proof for category so even if the address in Aadhaar card and EWS  category certificate is different there won't be any issue.