Reasons why... That's a wrought iron mass with a tool steel top plate forge welded on top. The plates thickness varies in thickness depending on it's overall size, but usually never exceeds 1"... Fishers are an exception because they adhered a double-thick tool steel plate in their castings... Any steel you remove from the face of that anvil, it's gone, and you wont get it back unless you weld on it...
I'll show you what happens with pictures... stay tuned for the edit.
If your anvil isn't a peter wright, it's a german trenton... This anvil is also a german trenton/ boker trenton (yes same as the blade manufacturer)... I presume someone milled the top on this one, because they also milled the side...
Top plate was 5mm thick when I got it...
You can see the milling on the side, which tells me someone with a milling machine owned it at one time...
This is what happens when you have so little top plate on the anvil...
This anvil was ruined. I brought it back to service via specialized build-up filler/ hard-facing rod and donated it to a non-profit nature center that put on demos/classes for kids...
If you mill anvil it can lose its hardness due to the nature of the material underneath the top plate being softer... While the tool steel might still keep it's temper, it will deform...Wrought is very soft in comparison to tool steel. That's why over time, heavily worked areas of the anvil will dip... Sometimes this is called "broken back" or "sway-back"... This even happens with anvils that keep much of their top plate, the soft wrought just deforms over time...
A few hours of forging will clean up the face more than you'd ever expect, if your not patient enough for that use a knotted wire brush on an angle grinder. I have never had any issue dressing an anvil with a
light flap-wheel disk either...