I am plenty old but do not have a landline (haven't for almost 20 years!), I do have a smartphone but use it primarily as a means of communication and as a camera and do keep it with me and on/receiving 24/7 just in case I need to call out in an emergency or receive incoming calls. With elderly siblings as well, that call can come any time of the day or night.
I also write only one check a month for rent.....all other bills are autopay and everyday purchases are made via my debit card. I also bank online and purchase online (with my card) and do so with expectations of complete safety....which have been totally borne out over the past couple of decades I have been doing so.
I may be old but I am not a dinosaur!! There is nothing smart about not keeping up with technology as best suits your needs. To claim otherwise just smacks of petty stubbornness and I suspect, being uninformed.
Q