Am not a renter, but was for a long time.
I always added up the values of all of the junk in my house. If literally every thing was destroyed, I would be out some money (10k? 15k?)... but after deductibles and such, never found it worth it to get renters insurance for my stuff. Like the computer I am typing this on cost $1500, but 5 years ago.
How much actual stuff do you have? Do you want to spend your time taking pictures and whatever else to catalog for the insurance company? Do you get replacement value or New replacements?
Let's assume you can come up with 25k in stuff (which is a lot, I don't think I can get up that high):
To Buy 25k coverage with 25% deductible for $41 per year. For all intents and purposes, this coverage will pay out $18,750 for the 25k in damages. Since your deductible is only $41, your payout -> premium ratio is 457:1. So basically if you had 1 of these events every 457 years, you would come out even (if they happen more than once per 457 years you win, if less than once per 457 years you lose).
Seeing how cheap this is, the insurance company does NOT expect it to happen. The ratio for something like "My house burns down" is much more like 30:1 or 50:1.
So if it helps you sleep better at night, it is pretty cheap to get the $41 coverage. But seeing as how the insurance company is saying there is at least 457:1 odds of it happening in a given year, I would be able to sleep pretty soundly without it.