CZ, I personally prefer celluloid picks over picks made from any other material, including genuine tortoiseshell. The first and foremost reason I like celluloid is the sound it gets out of the instrument. Tortex picks just don't sound as musical to me, though I concede it may just be that I know how to use celluloid picks more effectively.
When I first started playing music celluloid picks were by far and away the most readily available. That's no longer the case, though celluloid picks are still found easily enough.
Another reason I prefer celluloid picks, after the tonal reason, is that it has a better "shape memory" than most of the synthetic materials I've tried. Which is to say that it won't start to curve and get bent the way Tortex can, but returns to its flat shape. When I've used Tortex picks for a while, they can sort of warp a little bit, which affects how they strike the strings.
So I'd suggest you search out and buy celluloid picks in several shapes and gauges - you don't have to limit yourself to picks that say "Taylor" on them. You can get Fender celluloid picks in 12 packs for a reasonable price, though I'd wait until I discovered which gauge I prefer before buying that many.
Something else you should know about celluloid is that different colors of it can have different flex characteristics. The white Fender picks are a bit stiffer than the ones in tortoiseshell color or the multi-colored celluloid that Fender calls "Confetti" but which hipster musicians like David Lindley call "Clown Vomit."
This picture shows those three colors. These are mediums, but I'd suggest you look for heavies. Of these three, the white will be the stiffest, the tortoiseshell the least stiff, and the clown vomit pick will be in between the two.
As a rule. There is still stiffness variation even within the same color and gauge of pick, and so I'll often flex three or four picks before choosing one for a song. We're talking very, very minute differences, mind you, so it's a very subtle difference but it does exist.
Anyway, welcome to the wonderful world of celluloid picks. Have fun determining which gauges and colors suit you best.
Wade Hampton Miller