6510 handling of $00 and $01 registers

If you write to locations $00 and $01 with the 6510 and it's derivatives,
does the address and data still get exposed on the addr and data bus?

Obviously reads are still going to routed internally to the registers but
I am trying to determine if writes still get mirrored to ram and therefore
whether the CPU is still setting the appropriate control lines for R/W
etc.

Cheers, Rob

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