I have used drop-in sinks for under mounting. I have even cut double drop-in sinks and under-mounted them as a single sink, in a granite counter top.
The important aspect is the flatness of the rim of the sink, and the gap between the top of the sink and the top of rim, because this is what you'll have to fill with silcone. Absence of mounting brackets is not an issue.
You need to provide sufficient support with all-round and/or brackets under the sink. If they don't do it for you, you could tell them to cut the opening and you'll install it yourself.
If the installer objects to drilling faucet holes at the precise locations provided by the sink, you can modify that sink: cut off the lip around the holes with an angle grinder and give them more tolerance.
Be careful not to bend the sink. And you need clearance from the basin. I've done it; it takes some patience. Sand it smooth to avoid injury, but it doesn't have to be pretty as it goes under the counter.
However, it should be within their skillset to drill those holes exactly as required.
If their argument is that the top of the sink is not flat enough, well, that makes little sense because it is a dual mount sink and it is designed flat enough to serve as an undermount.