[[movorack]]

Aunque lo hice con fines "didacticos", pienso que se complica demasiado el código haciendo el split en una sola función.

Código Delphi [-]
unit Unit1;

interface

uses
  Winapi.Windows, Winapi.Messages, System.SysUtils, System.Variants, System.Classes, Vcl.Graphics,
  Vcl.Controls, Vcl.Forms, Vcl.Dialogs, Vcl.StdCtrls, System.Rtti;

type
  PArrInt = ^TArrInt;
  TArrInt = TArray< Integer >;
  PArrDbl = ^TArrDbl;
  TArrDbl = TArray< Double >;
  PArrStr = ^TArrStr;
  TArrStr = TArray< String >;

  TForm1 = class(TForm)
    Button1: TButton;
    Memo1: TMemo;
    procedure Button1Click(Sender: TObject);
  private
    { Private declarations }
  public
    function Split(const S: string; const Separator: array of char): T;
    function toArrStr(const A: TArrInt): TArrStr; overload; inline;
    function toArrStr(const A: TArrDbl): TArrStr; overload; inline;
    { Public declarations }
  end;

var
  Form1: TForm1;

implementation

{$R *.dfm}

{ TForm1 }

function TForm1.Split(const S: string; const Separator: array of char): T;
var
  i: Integer;
  lArrStr: TArrStr;
  lArrInt: TArrInt;
  lTmpI: Integer;
  lArrDbl: TArrDbl;
  lTmpD: Double;
begin
  if (TypeInfo(T) <> TypeInfo(TArrInt))
    and (TypeInfo(T) <> TypeInfo(TArrDbl))
    and (TypeInfo(T) <> TypeInfo(TArrStr))
  then
    raise Exception.Create('¡Tipo generico no manejado!');

  lArrStr := S.Split(Separator);

  if TypeInfo(T) = TypeInfo(TArrInt) then
  begin
    SetLength(lArrInt, 0);

    for i := 0 to High(lArrStr) do
    begin
      if not TryStrToInt(lArrStr[i], lTmpI) then
        Continue;

      SetLength(lArrInt, Length(lArrInt)+1);
      lArrInt[Length(lArrInt)-1] := lTmpI;
    end;

    PArrInt(@Result)^ := lArrInt;
  end
  else
  if TypeInfo(T) = TypeInfo(TArrDbl) then
  begin
    SetLength(lArrDbl, 0);

    for i := 0 to High(lArrStr) do
    begin
      if not TryStrToFloat(lArrStr[i], lTmpD) then
        Continue;

      SetLength(lArrDbl, Length(lArrDbl)+1);
      lArrDbl[Length(lArrDbl)-1] := lTmpD;
    end;

    PArrDbl(@Result)^ := lArrDbl;
  end
  else
  if TypeInfo(T) = TypeInfo(TArrStr) then
    PArrStr(@Result)^ := lArrStr;
end;

function TForm1.toArrStr(const A: TArrInt): TArrStr;
var
  i: Integer;
begin
  for i := 0 to High(A) do
  begin
    SetLength(Result, Length(Result)+1);
    Result[Length(Result)-1] := IntToStr(A[i]);
  end;
end;

function TForm1.toArrStr(const A: TArrDbl): TArrStr;
var
  i: Integer;
begin
  for i := 0 to High(A) do
  begin
    SetLength(Result, Length(Result)+1);
    Result[Length(Result)-1] := FloatToStr(A[i]);
  end;
end;

procedure TForm1.Button1Click(Sender: TObject);
const
  _INT = '1;100;1000;10000;100000';
  _DBL = '1,1;1,2;1,3;1,4;1,5';
  _STR = 'A;B;C;D;E';
var
  lArrI: TArrInt;
  lArrD: TArrDbl;
  lArrS: TArrStr;
begin
  lArrI := Split< TArrInt >(_INT, [';']);
  lArrD := Split< TArrDbl >(_DBL, [';']);
  lArrS := Split< TArrStr >(_STR, [';']);

  Memo1.Lines.Clear;
  Memo1.Lines.AddStrings(toArrStr(lArrI));
  Memo1.Lines.AddStrings(toArrStr(lArrD));
  Memo1.Lines.AddStrings(lArrS);
end;

end.

Resultado:

1
100
1000
10000
100000
1,1
1,2
1,3
1,4
1,5
A
B
C
D
E