Você deve poder adicionar o segundo filtro como uma subexpressão > entre chaves
sed -ne '/="Default"/,/Size=/ {s/Size="\([1-9][0-9]*\)"//p}' TestData.txt
ou POSIXly
sed -ne '/="Default"/,/Size=/ {s/Size="\([1-9][0-9]*\)"//p
}' TestData.txt
Veja os Comandos de edição no sed
[2addr] {function function ... }
Execute a list of sed functions only when the pattern space is selected. The list of sed functions shall be surrounded by braces and separated by newlines, and conform to the following rules. The braces can be preceded or followed by blanks. The functions can be preceded by blanks, but shall not be followed by blanks. The right-brace shall be preceded by a newline and can be preceded or followed by blanks.