I assume plug-in batteries are considerably more workable in the UK on 240V, since they could charge and deploy at double the rate of a plug-in system here. Of course 240V plugs exist in North America, but they're generally only installed for dryers, ranges, and EV chargers, so people don't tend to have one just free.
What makes it easier on 240v systems is that your entire household is on the same “circuit”. If you’re on a 120v system, there’s a ~50/50 chance that your load is on the wrong side (except for 240v loads where you’ll imbalance things a tad but it should average out). Unless you’re in an apartment/conso and have 208v instead of 240v… dunno what happens then.
Elsewhere in Europe it varies. Even small properties in Denmark and I think Germany have a three phase supply, my oven and stove use it directly.