Is it an AA fare or a BR (EVA) fare?
If the "B" fare is an AA fare, it would be quite expensive (~$2K-$3K?). At that price, I ask if you value the comfort or the miles. For about $2.5K-$3K you can buy BR business class (they call it Super Business)

.....it's nothing super except for the name. But no AA miles at all since it is a BR ticket.
However, business IS business and still better than economy. BR is not going to care if you bought a full fare E C O N O M Y ticket from AA that's $3K.....economy is economy, and that's what you paid for, albiet very expensively.
My advice is to find a TA and price out a decent EVA fare and take business. Fares to TPE from LAX ans SFO is consistently around $2K....