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The speed difference is not a matter of 32-bit vs. So it is perfectly possible to make the 32-bit version as fast as the 64-bit version, but then it won't run on very old computers with Pentium 2 or 3 and similar CPUs. If the 32-bit version is compiled for pre-SSE2 CPU compatibility, it will be slower. All 64-bit CPUs support at least SSE2, so this is usually taken for granted by the compiler.
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Whether 32-bit programs are slower than their 64-bit counterparts depends on whether the 32-bit version uses the same SSE instruction set or not. Of course your rendering and operations will be faster than in 32 bit You pretty much answered your question by saying other programs run better on 64 bit.
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