I assume you are asking because you don't want "paper" tickets.
The so called "paper" tickets are actually a material called
Tyvek, and is very strong and waterproof. Strong enough that you may have heard of it before...they wrap houses in the stuff to protect it before putting on the siding. They also make disposable biohazard suits with it for certain levels of containment.
CMs have reported that they have LESS issues with the Tyvek cards than plastic, especially with regards to the magnetic stripe.
Reasonable care should make them last perfectly fine. If it was a problem, Annual Passes wouldn't be issued on them.
That said, any ticket you get at WDW other than a KTTW card will generally be Tyvek.
Tickets purchased from Disney and mailed to you at least were still plastic somewhat recently. This may be due to them standing up better in the mail. From other sources they could be either.
I've also gotten plastic tickets from
AAA, but have also heard of them issuing Tyvek tickets as well.
If you have ANY ticket issues, you should be able to get them reissued very easily. Having copies of the backs of the tickets may make it faster.