I agree with you, but i think that can't is use for things that you can't remember in any way by yourself, like you need to lern it again... i'm clear? In español: No lo PUEDO recordar.
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YankeeTo me, can't remember basically takes don't remember a step further. Can't remember means that you have tried but failed to remember that which you don't remember.
YankeeDepending on the context, using can't could be a bit more polite or diplomatic. In other words, it may sometimes be more diplomatic to indicate that you've tried to accommodate the other person in that you've made an attempt to remember/believe something (but unfortunately have failed). In that sense, it would be somewhat less direct, and potentially less h