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There are a few differences - pianists playing solo or in front of orchestras are usually playing for the whole piece of music, or virtually (obviously not all pieces are the same), and are usually using both hands the entire time. So if they had to turn their own pages it would disrupt the music. Other instruments in the orchestra often have times when they're not playing or not using both hands and can turn their own pages. Speaking from my own experience, the times when it was impossible to turn the page because I was playing with both hands (clarinet) across the page turn I would recopy the score so I could see the next page as well so the problem was removed.
Also not all instruments use both hands - most brass instruments don't for example, or at least, it is easy for one hand to be removed from the instrument to turn the page because the hand is only needed for supporting the instrument.
Another thing I suppose is that the pianist is the only one playing the particular part of the piece - whereas nearly all other instruments are playing together with at least one other instrument. So one person can turn the page while others continues playing without the music suddenly stopping.
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