The choice of cipher (AES-128 modes, AES-256 modes or other) has no impact on the size or structure of the ciphertext. Therefore the input/output operations are exactly the same. (There might be a tiny difference when mounting the volume, but that would be negligible compared to everything else that happens when mounting a volume.)
The choice of cipher (between plausible candidates) also has a negligible impact (tens of bytes at most) on RAM usage.
AES-256 will definitely use more CPU cycles than AES-128 because it has to do more basic operations. It also uses a little more code size and active memory, so there is an indirect performance impact due to a slightly increased usage of cache memory. That's not much, but it's one of several reasons why you can't just multiply the CPU speed by the number of operations to calculate performance.
A computer with “twice as powerful a CPU” isn't actually twice as fast for sequential performance, which is what matters the most here. These days the raw speed increases relatively slowly. Processors have more core, which allows more parallelism but doesn't help much if at all with throughput when accessing a single file.