If paying cash, I often forgo the termite inspection by crawling the crawlspace myself. Termite damage isn't bad if not structural, rather, you are looking for active termites. Then when complete, I treat the entire foundation for termites for the price of hiring an inspector. Takes about 2 hours and costs $100 and my treatment is good for 20-30 years if left undisturbed. Generally I can use my findings via pictures to make adjustments in the price during the initial offer. Waiving further termite discussions strengthens the offer significantly in my opinion. If the house has a basement or slab then it's even easier to verify no damage...
Why? I bought a SFR in 2005 that had termite damage but passed a termite inspection by a company that I paid $3k at closing to maintain their bond on. Afterwards I asked them to make repairs when I did discover damage and an active termite infestation and they balked. (Repairs were quoted at $100/ft for 10' of damaged sill plate.) So I had them treat the infestation, verified that it worked, and then I fired them, saving me about $4k over the next ten years by not signing another termite contract. That led me down my current path of DIY and I have successfully treated two active infestations this way since. One was a barn riddled with them and the second was a friend that discovered swarms coming from two sides of his house on a crawlspace.