Indeed it will.
How about the equipment in the hospitals or in homes that rely on that frequency for timing for monitoring or medications? Electric motors in your home appliances will have to work harder - creating more heat leading to earlier breakdowns.
But that's OK - we'll all get electric cars to tide us over!
There is no equipment in the hospital that uses the cycle from the socket to dispense medication. Nor will your appliances have to work harder creating more heat.
All the hospital equipment is keeping time internally using individual crystals. Using the cycle from the socket is ancient technology that barely exists today. Chances are good that you haven't seen a clock that runs directly off of unconverted AC power in 30 years or more. Likewise the medi-pumps the hospitals use are also converting the AC from the socket to DC power.
For the electrically-challenged among us, including myself, can you elaborate on which household appliances would be affected. Washing machines? dryers? Microwaves? Timers on pools or spas? Gas powered generators? Freezers with power-up/power-down cycles? Water pumps?
Is there any remediation available, especially for those with older motors on their property?
From what I can tell, the worst case variance for 60 Hz power would be about .01 Hz. So the frequency could vary from 60.01 to 59.99 Hz. I cannot imagine that the medical industry designs equipment that cannot deal with this level of frequency variance. I also cannot see how this would adversely affect home appliances.