I think the reason people are fixated on the $2000 checks is because that's immediate in a way the other stuff in the bill isn't.
Minimum wage increase is great! But I expect employers and states to fight it tooth and nail. Utility assistance sounds great! But we all know the horror stories about how impossible it is to qualify for relief programs.
Most of us have seen direct checks from the IRS come in immediately and be used for stuff the next day. That's fast relief, which is what we need.
If you're working 40 hours at, say, $11 right now, the $15 minimum wage increase won't even show up for a week and when it does that's $160 more per week ($15*40 - $11*40).
That's not nothing! But it's not a RIGHT NOW check for $2000.
Folks need $2000 right now, hell, they need $20,000 right now--10 months of back pay. Maybe that's impossible, but it's not helpful to act like the people who need it don't care about the rest of the bill.