Earlier quoted context omitted.
The answer is yes. But it's not just about speed. The higher speeds drain the battery faster. I say this because we currently use an old 2014 phone as a house phone for the family. It's set to 2G to take calls, and switches to 4g for the actual voice call. We only have to charge it once every 2-3 weeks, if not longer. (Old Samsung phones also had Ultra Power Saving mode which helps with that) 2G is being shutdown tho…
I actually miss the concept of house phones. Instead of exclusively person-to-person communication, families would call other families to catch up and sometimes even pass the phone around to talk to the grandparents, aunts and uncles, etc.
passing cell phones around still happens for my family