Aviation is 2.5%: https://ourworldindata.org/global-aviation-emissions
Shipping industry is 3%: https://www.transportenvironment.org/topics/ships
Large truck freight is 3%: https://www.statista.com/statistics/1414750/carbon-dioxide-e...
Medium truck freight is 1%
The single biggest non divisible sector you can realistically come up with is "personal transportation", but even that is only 10% of global co2. You can look at other sectors like "industry" and "energy" and I can guarantee you will be able to easily split things down into sub categories which have <5% impact on global co2 emissions.
Also, I think it's worth pointing out that the sectors you list are like 1.5 to 2x larger than the one he gave and the largest nondivisble sector, you listed is literally 10x, which I think does more to prove his point than yours.
Also, by your logic, literally any new sector of the economy that uses any amount of energy, basically at all, should be banned, because it "all contributes." that's a consistent position to take and there are certainly people that hold that position, but that at that point seems like a fundamental axiological difference that I and probably OP are simply not going to agree with you on.