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I started with the Adidas Powerlift 2.0, but found them too stiff for anything other than lifting. If you are just going to lift then they work great!
I switched to the Reebok lifters shortly after and I find them much more comfortable overall and lighter than the Adidas. The lifters also have more room in the toe box which I liked. For dedicated lifting shoes like you said either should work, but I can’t tell you which one will fit your feet better. I would recommend finding stores to try on the Lifters and Powerlift and pick the one that feels best.