Please be aware that Axis Bank doesnt have a proper online banking facility with features like online payment, disbursement request, view account statement etc. for home loan accounts. You need to visit the loan branch(even Axis Bank branches will not entertain home loan accounts related queries) everytime when you need any service. Truly you are going back to old era. Also I didnt see they reducing the interest rate when RBI reduces interest rate.
So even the process may be little longer, stay with nationalized banks home loan scheme. Eg. SBI Home loan.