While it is true that the antennas work the same, it is not true that the channels are the same as they were in the analog days.  "Back then", channel 7 was broadcast on VHF channel 7.  Today we call these "virtual channels" as channel 7 can now be broadcast on VHF 7 (rarely) but can also be broadcast on a variety of UHF channels.  So, if your TV scans channel 7 on UHF 35 you will not get channel 7 at the next location if it is being broadcast on any frequency other than UHF 35.  What might happen is that you will not get channel 7 but find that you can get channel 20.  This happens when the next place you move is broadcasting channel 20 on UHF 35!