The outgassing rate is a function of the amount of carbonates in the water and the pH and amount of aeration. If you added borates but didn't lower the TA to reduce the carbonates, then the outgassing rate should be about the same. However, the change in pH from the same amount of outgassing will be less due to the additional pH buffering from the Borates. So the total amount of acid needed to restore the pH over a time period will be about the same, but such acid addition can be done less frequently since the pH won't rise as quickly. You can think of the increased pH buffering as creating "resistance" to pH movement and that resistance applies equally to slowing pH rise from outgassing as it does to resisting a pH drop when acid is added.
If you want to lower the amount of acid you need to add, you need to lower the TA (carbonates) level or target a higher pH or reduce aeration sources (such as by using a pool cover).
HOWEVER, in a pool with an SWG (such as yours), there is an additional effect from the algaecidal properties of the Borates. By keeping algae growth minimal, you may be able to lower your SWG output (on-time) and that will reduce hydrogen gas bubble production (i.e. aeration) which reduces outgassing. Since algae growth is dependent on multiple factors, this is why some people find that Borates let them lower their SWG output time while others do not. If you are able to lower your SWG output time and still maintain the same FC level you had before using Borates, then you will find you add less acid over time.
Richard
