Thinking mistakes discount protection or everything right?

Hi, am I making a mistake of thinking or everything right? Currently insured with the Generali, liability SF11 , comprehensive SF13, but only due to special classifications and discount protection. Today came the bill, just over 1000€ contribution would be due. We asked which SF steps will be passed on to a possible successor insurer, that would be SF5 with the total liability and SF6 with the total liability. Then looked directly at Cosmos, with discount protection and 200€ less deductible the post would be 840€!!. So I really assume that despite the discount protection at Generali it is worth to let the protection expire and be classified into the real SF classes with the successor insurer, in order to save money with it? Thank you and greeting Maduuto