Three different things get called a catchment
The first is a share of trade. Primary, secondary and tertiary catchments split the area by how much of a place's turnover comes from each, and they are drawn backwards from data about who actually visits. This is the definition retailers mean, and it is the only one of the three that is about customers.
The second is a travel time. An isochrone is the area you can reach from a point within some number of minutes, on foot, by bus or by car. It is a supply-side statement about the network, not a demand-side statement about people, and it makes no claim that anyone in it is coming.
The third is an administrative boundary: a ward, a set of census areas, a town centre boundary from a local plan. These get used because the population statistics arrive already cut that way, which is a reason about the data rather than a reason about the place.
Most disagreements about a catchment are two people using two of these three. Say which one you mean in the first sentence, and if you have to mix them, keep the counts separate rather than adding them together.
ONS statistical geographies
Every national statistics office publishes the boundaries its own data is cut by, as downloads: ONS output areas and built-up areas in the UK, Census Bureau tracts and block groups in the US, Eurostat and the national institutes for the European equivalents.
What it misses. Definitive for the boundary itself, and silent on whether it matches anything a customer does. These units are drawn for roughly equal population, so they cut across the middle of a shopping street without hesitating. Check the vintage before using one: boundaries are redrawn between censuses and the old and new versions are not comparable.
The local plan's town centre boundary
Your council's planning policy pages, in the adopted local plan and its proposals map.
What it misses. The boundary that actually governs planning decisions, so it matters regardless of whether it matches trade. It is also often a decade old and drawn around where the centre was, not where it has moved to.