ICICI Prudential Life Insurance — Immediate annuity policy not immediate

I took a policy 89132695 ONLINE at the companys portal on 2nd Jan 2021 and i am surprised to observe that the policy states annuity from 5th Feb 2021 while the actual date should have been 2nd of every month as per online payment acknowledged. It appears this company cheat customers by manipulating the date once the policy is taken. All insurers in the country commence on the date of payment effected or cheque in case of LIC. Pensioners taking policy here should note above anomaly and decide to go ahead since the company will not even your grievence on the subject. Complaint to IRDAI will not help since they are just post office and do not even read your complaint and interfere.