Hi,
Without using structured references the formula I gave you is this
=SUMPRODUCT((B1:J1=A2:A4)*(B2:J4))
If we then convert that to a structured reference we get this
=SUMPRODUCT((**Table[[#Headers],[START]:[END]]=**Table[YEARMONTH])*(Table[[START]:[END]]))
So the first bit in bold is the equivalent of B1:J1 and comprises of the table name (Table), the first row (Headers) and all the columns including and between Start and End. As I'm sure you know there's no need to create these names because Excel does this.
Likewise the underlined bit is the equivalent of A2:A4 where yearmonth is a name of a column and the last bold bit is the body of the table.
The short answer to your second question is no because there's text in the range and the bits that can be coerced into numbers aren't very useful when you do it. For example this
=VALUE(LEFT(Table[[#Headers],[2014-01]],4))*12
You can calculate anything you want from the table using structured references but still have to follow the same rules as when not using them.
returns the value of the header which is 24168 and as a date that equals 2 Mar 1966 but more importantly this
=VALUE(LEFT(Table[[#Headers],[START]],4))*12
tries to get the value of the header START and it has no VALUE, it's text and returns a #VALUE! error