I have pet insurance for Kiwi through Embrace and it really helped us out! I chose Embrace because they cover genetic illnesses (which most pet insurances don't cover, so read carefully!). Kiwi had to have several expensive tests done and surgery for a liver biopsy. Embrace paid the entire bill, minus the deductible, in two weeks! All they wanted was a copy of the procedure and the bill.
Embrace doesn't do wellness stuff, they encourage you to save and plan for that on your own. That makes sense, because you can budget for stuff like that. It is hard to budget for an $1100 surgery that you don't know your baby needs.
I see the point some people have about a savings account, but I would have to save up for awhile to get the coverage I have through Embrace. Kiwi was only 7 months old when she had her surgery, so I wouldn't have had enough saved up to pay for the surgery from a savings account. Having Embrace was really nice, because we got the money back!