[Vrul]

Not every component of the unit frame needs to be named (global). Why not just:

local frame = Create("Frame", "GUI_Party" .. i .. ''Frame", UIParent, "SecureUnitButtonTemplate")
frame.pedestal = Create("Frame", nil, frame)

I would also save the unit with the frame so that you don't have to keep concating it:

frame.unit = "party" .. i

Then you could do something such as:

function GrimUI.PartyStyle1NameTextEvents(self)
    if UnitExists(self.unit) == 1 then
        self.nameText:SetFormattedText("%s", UnitName(self.unit))
    end
    self:ApplyNameColoring()
end