Arrgh... In the USA, both T-Mobile and AT&T are beginning to sunset their 3G.
If you are still using 3G phone, don't swap SIM around... I ran into this problem so I'm alerting others to expect possible problem with SIM swapping.
AT&T (my regular network, 3G shutdown is scheduled for Feb 2022)
I was expecting a call but my regular (3G) phone was on low-battery. So, I put the SIM into another phone (4G/LTE) to catch the calls while my regular phone is being charged. Re-inserting the SIM back to my now fully-charged 3G phone, everything looked normal, address bar is full and shows I am connected to AT&T network... It looked so normal and typical I didn't even check - but it actually is not working. I didn't even realize it was not working until I got an email: "...I've been calling you for a couple of days and your phone is not working..." I checked: it can't receive and it can't make calls while externally everything looked normal. It took a call to AT&T to re-enable my regular 3G phone.
T-Mobile (Business customer is scheduled for Dec 2021, unknown for consumer lines)
Since I didn't particularly like my AT&T's plan, I got a T-Mobile prepaid to check coverage in my area prior to AT&T shut down my 3G phone. The T-Mobile's SIM worked just fine on my 4G/LTE phone. I inserted the SIM into my regular 3G to copy some numbers then re-inserting it to the 4G/LTE phone. Now it wont connect. Just like before with AT&T, the phone shows full 5 bars and I am on the T-Mobile network, but it actually is not working. After two calls to tech-support, I did got the T-Mobile SIM re-enabled on my 4G/LTE test phone.
Later, I thought about the reason why the 4G/LTE phone isn't working when they are merely shutting down 3G. It may be my 4G/LTE phone doesn't support VoLTE and so it would be 3G voice-wise, may be.
So, if the SIM card is switched between phones, be mindful you may run into problems re-inserting back to originally working phone...