Let's take a quick step back.
1) When it is warmer, your SWCG should be adding FC everyday to keep your FC level steady.
2) Foundational to TFP is that we test daily (with a good
Test Kits Compared) and add liquid chlorine, or run a SWCG to maintain a consistent FC aligned to the level of CYA you have in the water LINK-->
FC/CYA Levels.
3) In your situation, pool company using chlorine gas...their approach is to raise your FC high enough so that it will not get too low when they come back, and you won't have algae. The problem is they are not testing, they have no idea how much FC the pool will use during the week, and added so much chlorine that your FC level is not safe to swim until it comes down to below 40% of your CYA. We call that level SLAM level and is used in this process LINK-->
SLAM Process
4) To answer your question, yes, you need to add chlorine WHEN your FC gets to the lower end of the recommended range for your CYA (your log says 80, so your range is 6-11) as recommended in the FC/CYA article link.
What the pool company is doing is feeding your pool once a week (or whatever frequency) vs. feeding your pool once a day. Said another way, if you need 2000 calories to survive daily, you would eat 2000 calories (TFP). They are just feeding you calories (more than the 14,000 you need for the week) and hoping that is enough. They put A LOT in so it will last until they come back again.