These jobs don't pay enough for a worker to live in Maine. Or the workers don't want those jobs for some reason (likely low pay for tough, unpleasant work). That's true whether the worker is in Maine legally, or illegally, and whether they were born in the US or elsewhere. So I don't see how more immigrants, legal or not, is going to somehow balance this equation.
It's not about being cold. It's about your flawed premise that somehow, more immigrants would fix the problem you used to start the discussion. I don't see how it would.
My elderly parents live in Las Vegas. There aren't enough medical providers there. The shortage is a much-discussed issue and my parents have trouble finding providers because everyone is booked for months, in some cases.
Would more immigrants solve this problem? Only if they were medical professionals, licensed to practice in the US. I'm not sure how that's "cold" to say.
There are arguments to be made for increasing legal immigration. The elder care shortage in Maine (or the medical professional shortage in Nevada) aren't really among them.
Perhaps a macro picture would help..
GDP = # of workers (A) X Individual Worker Productivity (B)
B increases gradually, as technology improves, processes get better etc. No easy way to ramp this up any faster than it does normally.
You can, however, change A very very easily with more immigration. More immigrants -> higher GDP -> suddenly you have a growing economy locally instead of shrinking economy -> locality thrives instead of gradually dying off.
This is not theoretical. We see this first hand in Connecticut. CT has had a population loss for the past 10 years (only showing signs of reversal in the last year or so) and is having all kinds of economic trouble. Zoom in further, and you can see shrinking and growing economies side by side. Drive through Litchfield county someday - and you have a prime example of economic despire driven by the population hollowing out. Now drive to New Haven-Milford area and walk around. This area is gaining Millennial population. You can see and feel the economy in upward swing from a fairly low base (New haven is NOT one of the rich areas of the state). You can literally *see* and *feel* the difference in economic vibe.
It makes a huge difference if you have a demographic headwind or tailwind!! A favorable demographic change makes *all* kinds of economic activity easier and possible, not just once single thing like home care.
In a growing economy, you are far more likely to find/attract workers in all kinds of high and low paying fields. In a shrinking one - not so much.
**Incidentally, when economists talk about the *normal* growth rate for USA - they are simply taking demographic trends and multiplying that with the normal productivity growth rate that stays fairly constant. It works out to somewhere around 2% for the entire US.
You can get sugar highs with lax tax/monetary/fiscal policies - usually at the cost of expensive hangover later!! The *normal* growth rate quickly dips below 0 if you have a demographic headwind. It is extremely difficult to rescue an economy from there.