memory - Are 64-bit processors "faster" than 32-bit ones, simply because they are 64-bits?

I have pondered that some say "32-bit is old news" because you are limited in RAM without cutting around, such as with PAE. Assuming first that the following factors weigh in on the processor's speed itself:

1. Microarchiterual design, meaning things like cache size, implementation of microcode (if applicable), data/address bus and register connections, and, of course, design principles or structures.




2. Clock speed itself.




3. Bus speeds, such as FSB speeds (front-side bus) and the related such.




4. Special features, like parallelism, "hyper threading", "compute units", off-loading work with a co-processor or background processor, multi-core environments, etc.

Assuming (and we know all of those things weigh in on speed factors) the processor is 32-bit, would the fact that it is alone 64-bit make it faster just because of increased bit-width, memory addressing, size, etc.?

Basically, with two identical processors, would the 64-bit one be faster generally in machine code decoding, fetching, accessing memory, MMIO, computations, etc., than the prior 32-bit clone?