Simon W is overall correct.
While when the size gets large enough the walls have to be thicker because of the weight involved, for small products, the problem is that they have to be strong enough for the handling machinery.
However there is an easy way to test this:
Weigh them. Empty of course. For each container wash it and weigh it. Don't forget the plastic sealer under the lid. There are good kitchen scales now that are accurate to about 5 mg (1/200 of a gram) Weigh each and do the arithmetic.
Take into account too the variability in materials. Some materials, like tetrapaks are very hard to recycle. (Tetrapaks have a layer of aluminum foil, two layer of paper, and I think a layer of plastic.) The easiest container to recycle is a plastic polyethylene milk jug.