Have never been a fan of extended warranties. Yes, sometimes you'll break even or save money, but the insurance company is not a charitable organization. The problem of exclusions were mentioned, but the deductibles are problematic, too.
Consider starting a reserve fund instead with that money. Over time, most folks will be money ahead being self insured. I know I am, over the last 25 years of new and used campers. The components they cover are normally quite reliable, and the policies never cover wear and tear.
If the budget is so tight that you can't handle a repair now and then, you probably stretched too far in your purchase decision. Repairs and depreciation need to be factored in, along with principal, interest, insurance, license and storage costs.
That "finance manager" may not know much about repairs, but the slick ones know how to scare you, and they profit nicely when you succumb. You are probably not far off when you say he'll get half of the premium. No wonder they smile so much!
I think we need to stop calling it "working from home" and start calling it "living at work!"