That is the most ridiculous and erroneous information I have heard. Sometimes people are confused about travertine, but that info is just plain wrong.
Let's talk about travertine pavers, as that is what I would suggest. This is because they can be easily dry laid like concrete pavers. Travertine does not discolor. It is a natural stone that maintains its beauty. It doesn't matter if it is in the sun or shade. If you get a quality travertine, the holes will be minimal.
I have written a page on travertine, explaining the differences in various types and I discuss quality. Here is the link. www.landscape-design-advice.com/travertine-stone.html
Travertine pavers are one of the nicest materials you can use around a pool. I never recommend slate or bluestone for pool paving since they get very hot.
If you like, speak to the people at the Andes Collection. I only recommend this company because I have used their travertine pavers and they are far superior to many others. I used their pavers on a recent pool project of mine, and in all honesty, it was breathtaking. In addition, there were hardly any holes.
Tumbled pavers can look nice too and typically less expensive, but travertine pavers are special.
