Both factors matter, but I’d prioritize your financial needs over just a brand name. Bajaj Allianz often offers better value with solid solvency and lower premiums, giving you higher cover for less. ICICI has great brand trust, but term insurance is really about claim reliability and cost.
Examine and contrast their settlement ratios and the distinct characteristics tailored to your age range. Ultimately, go with the one that gives you the best balance of protection and price for your family.