very important t check that the replacement cover is at least as good as the older cover. it is up to you to check, do not just take the word of someone in the new company, as in the event of a dispute, it is one word against the other, if they deny telling you what you claim you were told.
One of the forgotten 'perks' in motor insurance is the 'driving of other peoples cars'. That is a benefit that allows policyholder (not named drivers) to drive another car, that is not your property. Some companies, who give cheaper cover do NOT give this benefit.