The links I quoted said far-off places, like Miami, would see a 25% or 35% higher local SLR compared to global average SLR.
Are the processes linear? I would say yes at first approximation. Assume all mass is lost at the center of mass of the ice sheet, and the more is lost the more the local water level drops. The distances don't change, only the relative masses, hence linear. But it also depends on other SLR contributions, on the relative contribution of Greenland and the WAIS, on the local distribution of ice mass loss within the ice sheets, and on the speed of the process, as there are other processes such as isostatic uplift, and even slowdown of the planet's rotation due to more weight at the equator, thereby affecting SLR further. Without a full simulation it's impossible to account for everything. I am sure some of the papers by Mitrovica and Gomez have more detailed answers.
Re East Antarctica, I think the main assumption is that ice mass losses there will be negligible compared to the GIS and the WAIS. And I sure do hope this assumption holds.