Correct. I have PURE ... especially important when covering "classic" (or otherwise "high-value"/"hard to replace" automobiles). In my case, w/ Luci, the "Agreed Value" was indeed higher than the amount shown on the Market Value Report.There are some insurers that offer agreed upon value. Hagerty and Pure come immediately to mind.
That said, no matter what, losing a car (especially when not at fault) is never pleasant and you certainly don't recover what you had in it (custom wheels, PPF, etc.)