People don't think logically so long as they feel like they're saving money.
If I still drank sugary soda, I'd go out of my way to avoid this tax.
I find the idea people alter their shopping habits to avoid it totally believable. probably not enough to offset the reduced consumption (or else it'd show up in lower gross receipts at stores within city limits), but it wouldn't be surprising to see increased sales in neighboring towns.
“I am uncritically accepting a study that says a 1.75 cents/oz tax was successful in changing consumer behavior because the additional burden it added to the cost of soda.”
You can’t have it both ways, claim the tax influenced behavior in terms of reducing consumption but not in terms of circumventing the tax.
Now one can certainly make a good argument that people are not fully rational and often do not consider fuel and time costs when looking for the cheapest deal, but that's not what you did.
Second, if the point was that driving further can’t save money, it’s flat out wrong because the cost of the driving is largely independent of the tax savings. Eg a single trip to stockpile.