When you will look at other demat trading platform providers across the country you will find many providers are giving hell lot of facilities with very less amount of money as brokerage and annual maintenance charges.
I will always prefer Zerodha as the demat platform as it gives you trading at Zero brokerage and at the same time ICICI charges you way more.
Before selecting ICIC demat please verify with other service providers and confirm.
I personally will prefer Zerodha over any of the demat servicer providers.