As the guy on the forum who owns a Furutech I'll pop my head in here quickly with my two cents.
Firstly yeah I wouldn't worry about the warps you're posting. They're all very very small, in at least one case I couldn't even see any movement. So no, I wouldn't worry about those damaging your cart or anything like that.
Secondly, could a Furutech fix those? Perhaps, I can't say 100% because every warp is different and some that seem easy don't ever come out, and some that seem impossible come out perfectly flat. It's a bit of a lottery. But the thing with colored vinyl and even some black vinyl types, it may flatten it but the record may also come out egg shaped. Colored vinyl has different melting points and it's just as possible that you destroy the record trying to remove a miniscule warp as it is that you get a perfectly flat record in the end. So it's a gamble. I suspect some companies are using inferior black vinyl these days too as I've had a couple black vinyl pressings melt on even the lowest setting.
If those are the worst warps you get I'm truly jealous. Here's just a quick little sampling of the stuff I get, and why I bought a Furutech in the first place. And just to be clear, there are like, hundreds more of these gifs, on my phone, right now...
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I need a drink.