Assuming similiar specs (e.g. CPU's that perform largely similiarly) there isn't going to be any noticeable difference on your end. The host end is where it matters, and honestly to you it shouldn't. There are a number of considerations hosts should make when sourcing equipment. One is having a large supply of spare parts/servers/etc. in event of failure. The other is having knowledge to support said hardware platform, another cost of the platform, and yet another the power usage requirements.
All in all, most hosting generally doesn't hit CPU really at all. Generally you will get much more performance increases out of additional RAM, and disk I/O.
-Phil
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