(1)SM-6 strike use is accepted norm, moreover, it's specifically procured by other services as strike weapon only.
(2)Since WW2 it's quite well known, that (1) overly specialized ammunition is a sure way to fire something else when you actually need it(German experience), and (2) it's best to have as much most useful type as possible, any performance gains in tertiary roles aren't worth it on normal missions.
No, it isn't going to make plan work easier. Quite the opposite, overwhelming US SSG becomes significantly harder.
SM-6 is a very expensive missile at $5-6 million per round. It's also procured in quite low numbers; 139 per year as of FY2026—and that's assuming Congress helps them. If the US is burning its limited stocks of exquisite BMD on strike missions, then I fully expect PLAN to celebrate because it means all of their YJ-17s and YJ-20s and so forth will be shooting fish in a barrel.