Should I block the trem block on my strat I never use the tremolo? Will it really make that big of a difference?
The main reason to block a floating trem is the tuning instability that it can cause. If your guitar stays in tune with the trem unblocked, there's no real reason to. If it doesn't, blocking the trem will fix that.
It'll help you stay in tune; when you bend strings sometimes the bridge is pulled up a little.

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It really depends on the guitar, but most of the time it will help the sustain and tuning stability.

If you don't want to go trough all that trouble to block it, you can just get a tremol-no and use that. You can also unlock those so you can switch to dive only or floating from fully blocked.
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This is terrible advice. Even worse than the useless dry, sarcastic comment I made.

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