A service contract is a trade. You pay now, and the company takes on some of the risk of a breakdown later. That trade only makes sense if a breakdown would actually hurt you, so the first job is to find out whether it would.
What the real problem looks like
The problem is rarely the car itself. It is the week the car breaks and the bill arrives before your next paycheck. If a single repair would leave you borrowing on a card, skipping the fix, or driving on a warning light longer than is safe, you have the problem a contract is built to address. If the same repair would be an annoyance you pay from savings, the problem is smaller, and a contract may be paying you to worry.
How to tell you have it
Look back at the last few times the car needed money you did not plan for. Be honest about three things. Could you have paid the shop that day without borrowing? Did you put off a repair because the money was not there? Did you feel relief or dread when the estimate came in? Relief suggests the money is fine. Dread, delay and borrowing suggest the trade could matter to you.
Then look at the car itself. An older car with a long list of known problems is a different case from a newer one that has never needed a surprise repair. Plan around the car you actually drive, not the worst car you have ever owned, and not the car you hope to buy next.
Set the trade against your own budget
Before you look at any plan, write down what you can pay from savings without stress. Then write down the point at which you would have to stop and borrow. Only after that, open the published figures. The comparison table of vehicle service contract companies, term by term lays out the terms side by side, so you can see what each contract asks of you instead of judging from a sales pitch. Use it to check the terms, not to decide for you whether a contract is worth buying.
Ask the question plainly: if the contract paid nothing at all, would you be worse off than you are now? If the answer is no, you may be paying for peace of mind. That is a real cost, and no contract can promise to make the worry go away.