Removal of 3 mm of material from the tool slot will leave a soft clamping area for the tooling.
Let us assume he is using a 12mm square shanked tool, maybe 60mm long.
That is 720 square millimetres of bearing between tool and holder. How would a soft or a case hardened surface make any difference here? It is not like pressing a fence post into a concrete slab and pressing the fence post into a wet lawn. The tool is not going to sink into the holder.
If anything needs hardness, it is the top of the tool itself, so the ends of the clamping screws do not dent it.
It is also not entirely clear from his post whether this is the surface he proposes reducing. It could be the underside of the holder (the bit that would contact the top of the top slide).
An inventive/holistic option might be to start at the top of the cross slide and see if and where there is any opportunity to lower the overall height (maybe a little off the underside of the swivel base, a little off the top of the compound slide). If he can gain 1.5mm, the problem when he reaches the toolpost itself is halved.