Yes the 13A will allow you to travel in/out without your spouse compared to the BB visa. Just note that the 13A is a resident visa and you will need to pay the travel tax (1,620p) each time you depart internationally. The BB visa you do not need to do this. However, you couldnt get the BB visa if you were flying into the country alone and they would only give you a 9a so getting the 13a has that advantage along with a few others.
Also, alot of people confuse the travel tax with the departure tax (or terminal tax) but they are two different things. Terminal tax is usually put into the ticket price except for one or two airports nowadays. The travel tax is occasionally included, most Philippine airlines give you the option to pay this when buying the ticket. The only time some needs to pay the travel tax on a 9a visa is if they spent 365+ days consecutively in the country. Also if someone has a work visa (9g, 47a2, etc), there is actually an additional tax of 2,880p on top of all of the other taxes.