Replacing All Record IDs with Names from a different table

Yes, just remove the step that sets the type to number (or Int64.Type)

let
    nameTable = Table.FromRows(Json.Document(Binary.Decompress(Binary.FromText("i45WMnM0NTMzV9JRCklNzFVwVIrVAYo5GRmbWMLEnCBiFs5GpnB1zkqxsQA=", BinaryEncoding.Base64), Compression.Deflate)), let _t = ((type nullable text) meta [Serialized.Text = true]) in type table [RecID = _t, #"Team Name" = _t]),
    Source = Table.FromRows(Json.Document(Binary.Decompress(Binary.FromText("i45WMnM0NTMzV9JBYjgZGZtYKsXqRMOYOhgMsKSFs5GpOYokxIjYWAA=", BinaryEncoding.Base64), Compression.Deflate)), let _t = ((type nullable text) meta [Serialized.Text = true]) in type table [Creator = _t, Owner = _t, Closer = _t]),
    #"Unpivoted Columns" = Table.UnpivotOtherColumns(Source, {}, "Attribute", "Value"),
    #"Replace Value" = Table.TransformColumns(#"Unpivoted Columns", {{"Value", each let key = _ in Record.Field(Table.SelectRows(nameTable, each [RecID] = key){0}, "Team Name"), type text}}),
    #"Grouped Rows" = Table.Group(#"Replace Value", {"Attribute"}, {{"AllRows", each _, type table [Attribute=text, Value=number]}}),
    #"Add Index" = Table.TransformColumns(#"Grouped Rows", {{"AllRows", each Table.AddIndexColumn(_, "Index", 1, 1), type table [Attribute=text, Value=text, Index=Int64.Type]}}),
    #"Expanded AllRows" = Table.ExpandTableColumn(#"Add Index", "AllRows", {"Value", "Index"}, {"Value", "Index"}),
    #"Pivoted Column" = Table.Pivot(#"Expanded AllRows", List.Distinct(#"Expanded AllRows"[Attribute]), "Attribute", "Value"),
    #"Removed Columns" = Table.RemoveColumns(#"Pivoted Column",{"Index"})
in
    #"Removed Columns"