Check for a few things before comparing quotes:
1. The IDV offered. Some insurers cut down the IDV by as much as 20% to give you a better premium.
2. The add-on covers - like whether zero-depreciation cover is provided. Some also provide windshield add-on cover, which means you don't lose your NCB if you merely go for windshield replacement.
3. Cashless facility tie up with your dealer.
Cashless can be a big benefit and convenience. Getting reimbursement claim involves more process and more time consuming.
Dealer policies will always be costlier, because of agent commission which is padded to your premium. But on the other hand, having dealer tie-up insurance means less hassle for claims settlement (except in rare cases). The entire insurance process will be done by the dealer - all you need to do is to sign the claim form and provide a few documents to the dealer.
Reimbursement claims involve:
1. Getting a repair estimate/ quote from the dealer.
2. Submitting the estimate along with other documents to the insurance co. like filled in claim form, RC copy and driving licence copy of the driver at the time of accident. Also verification of originals with the insurance company appointed surveyor.
3. Getting survey done.
4. Repairer approval from surveyor based on his assessment.
5. Finally repairing the vehicle as per the surveyor's approval and then submitting the original bills/receipts to the insurance company, along with your bank NEFT details.
In cashless claims, the dealer gets the documents from you and directly coordinates with the insurance company for the other steps. You only pay the policy excess and a few non-payable consumables/depreciation if applicable.
Also note that in a competitive market, insurers will always try to reduce the premium. But you should check their reviews regarding how well and efficiently they settle claims, which is the main product for which you are paying.
Government sector insurers will definitely settle claims more liberally, but the process will be more cumbersome. Also, unlike private sector cos, you may have to visit their claims office/hub to submit the documents/original verification etc.