If it is a question of CO2 levels throughout the tank, then placing drop checkers on either side (and maybe one in the middle) should help prove/disprove this. With proper circulation this should not be the case.
Are you actually seeing different growth rates with identical plants in different parts of the tank (assuming left side/right side)? I am late to the party and have not scrolled through the entire thread.
I have seen the above occur but it was due to shading from other plants primarily and, to a lesser degree, distance from the light fixture. Meaning, those directly under the light fixture did better than those further away from center. The plants I am referring to are low growing foreground plants.
I believe swords can tolerate low light but do better in low medium+. Bacopa caroliniana (and possible other Bacopa species) have grown well in low to medium high in my tanks.
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I do have spare drop checkers so could try this.
It's hard to say on plant growth as generally I've tried different plants on either side. Previously the right side had val and ambulia growing ok.
The central back of the tank under the glass cross-piece grows well.
The left side does get some pearling whereas on the right side I've never seen this.
The plants are breaking off at the base on both sides though. I've got no snails in the tank now (that I know of). The only fish (assuming they are contributing) I can think of would be the bn catfish.