I can't give you a definitive answer, based on the information you provided, but I can tell you that the chlorine "clumping together" explanation is bogus. PH levels may affect chlorine consumption, though I've never been able to verify that personally, from either experience or publication. However, if they do, the effect is not dramatic, and does not involve "clumping".
Several things do effect pH, including aeration (via carbonic acid / CO2 off-gassing), plaster erosion (which can have to do with how the plaster was applied) , and salt water chlorine generators (SWCG). Also, use of bleach or calcium hypochlorite does tend to cause a pH rise. In particular, cal hypo use -- if you follow label directions -- can have significant effect.
Finally, if you are using test strips, your testing may be more the issue than the strips.
Several things you need to know:
#1 - Long term use of dry acid (sodium bisulfate), without draining, can lead to sulfate build-up and (reportedly) plaster and concrete corrosion.
#2 - Most algaecides consume chlorine and if your pool is truly indoors, you don't need them.
Here's what I would recommend:
#1 - Tell us what sort of pump / filter / pool surface / enclosure you have, along with what chemicals and maintenance routine you are using.
#2 - Get a Taylor K2006 or 2006C testkit (Amazon links in my signature) and report results. If your pool is genuinely indoors (no UV) you can substitute a K2005 (use the link provided, and the search for "Taylor K2005", or go to lesliespools.com) and save $10 - $20 at the cost of less flexible and less accurate chlorine testing.
#3 - Tell us how you use the pool (average daily use, etc.)
#4 - Tell us when it was last drained and refilled.
Best wishes,
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