Well, here's the math. If you run the LQ at 5cc/min for 12 hours that equates to about 121oz of 6% chlorine per day which in turn, equates to about 2.3ppm per day of FC in a 25,000 gallon pool. That's very possible to do but it doesn't give you much leeway.
You'd also be filling the LQ every 8 days or so.
If you always use 12.5% it would give you more leeway and longer time between fills.
With a pool that size I'd take a hard look at a peristaltic pump and tank system. You can get them up to 30 gallons and whatever flow rate you need to maintain the FC.
Don't get me wrong, I love my LQ but I don't want to recommend something borderline which in your case I think it would be. You could however, buy two LQ's for less than a tank and pump system and run them parallel if one wasn't quite enough at times. Just food for thought.