Paying for information is only useful if you have a pending decision that relies on the information.
What will you do differently if there are termites vs. if you are termite free?
Probably nothing, so there is no reason to spend money for the information. You will still list the house for sale and the buyer will still want his/her own termite inspection anyway.
Termites are a simple problem for a real-estate transaction. Pay the inspector, get a quote to fix it, and subtract from the selling price.
Getting your own inspection may help It may ease your mind or help you budget how much money you can pull out of the deal, but it isn’t necessary.