Modern passenger (and commercial) tires - from the last 25 years or so - are quite tolerant of such temperature roller coasters. Are you in New England as I am, or upper mid-West? Those forecasts remind me of it.
I pick a day I’m not working, perhaps every other Sunday morning, and adjust my pressure cold at those times. Works out to 2x per month, and I find I must correct the pressure maybe 2psi at most. Takes no more than 2 minutes if the pressures are within 1psi of spec, 3-5min if I need to adjust.
Old wives tale. Actually, and this is key: Overinflating, by 2-3psi as per tirepressure . org, gives a cold tire in winter more ‘bite’ down through various winter precipitation.
As per my 2010 Honda example: 32psi cold spec from Honda, starting in late December through March I keep them at 33-34psi, but no more. These are 50R17s, so they aready ride a little firmer than the 60R16s on the same model year base trim.
That is probably the best policy, and is repeated on the websites of nearly every tire manufacturer and tire retailer. When Town Fair Tire examined the 5 year old ProContacts on our 2005 Corolla, they said yes, you should replace soon, but were impressed by how even the treadwear was. I’d maintained them at 30-31(winter!) psi, for that entire time.
The vehicle manufacturer, and the vehicle the tires are installed in, determines the correct cold pressures (or pressure range, if applicable), not the tire itself, the brand name of tire, or our opinions, or preferences, or speculation.