Is a Static network connection more static than Auto?

Is a Static network connection more static than Auto? 

If I set a printer's network IP address, network mask, and Gateway and
mark it STATIC, does that make it less likely that the printer will
forget what the settings are?   Less likely than if it was done with
AUTO/APIPA or DHCP? 


(The previous thread was called "I can't print to my wireless printer",
and it starts at 11/1/2022 at 6:16am ET, but after all these years, I
still don't know if people are likely to see a new post in an old
thread.  I am not likely to see it, but my version of Forte Agent is
from 2002.  Since I save all the posts, a new post in an old thread will
be many, many pages up from the page I'm looking at this week.)


Anyhow it was subtitled  "No wifi connection. " and was about my
wireless printer becoming disconected, but you guys, especially Graham
and Char, showed me how to fix it. 

It happened again, and was harder to fix the second time. But I didn't
have to post again.  I did have to use the full length instructions that
Graham gave. (The first time, abbreviating his instructions was enough.)

And it's happened a third time, but this time good fortune shone on me.

Brother has a program BRAdminLight.  I wonder if it would work for other
printers or wireless networks in general.  Probably not.  See below**  

Anyhow, I tried BRAdminLight the second time, but the printer was
totally off the network and didn't show up.   This time it was listed
with some strange node name, and labeled Unconfigured.  Right clicking
and clicking on Configure gave 5 methods for configuring, AUTO, STATIC,
DHCP, and a couple others. 

Choosing Auto did not work, and if it had it probably woudl have
assigned the wrong numbers like the first time APIPA was used and I had
a problem. 

But STATIC only required IP number, subnet mask, and gateway, and I
copied all 3 off the printout Graham had me make after following his
instructions. 

And it worked, but more important, Now that it's set at Static, doesn't
that make it less likely it will lose track of what the settings should
be?   I sort of thought that Auto, as good as it is, maybe re-autos
under certain circumstances.  Or am I projecting from some webpages that
reload for no good reason? 

*** I would think BRAdminLight would work with all printers and all
networks unless Brother went out of their way to require a Brother
printer. Yeah, I just remembered that I have another wireless printer
that didn't show up.  I forgot it because I've only used once.  I found
it on the sidewalk; it won't print and I couldn't fix it, but it scans
really nicely, has nice scan software to go with it. And I used it when
the Brother was off the network.  It's an HP-Officejet-4630, and it does
not get listed by BRAdminLight.  There is also BRAdmin-Pro but it seems
to have more than I would need and I haven't installed it.