Bill, the trouble with using linear in the way you described, is that it can also be used to describe DC/DC converters... As most SMPSUs are actually DC/DC converters with a conventional power supply input stage (yes, I know that larger SMPSUs now have the complexity of power factor correction)...
If the PSU is not operating beyond it’s full load, the output voltage should be a nice stable voltage (flat and smooth with no significant ripple). The DC input voltage to the switching stage may have some level of ripple, but if this is averaged out, it can be treated as a simple voltage. The input current can also be averaged out. The power output will then be proportional (in DC terms) to the input minus any losses. Does that now make the relationship linear? [yes, I know there are lots of if’s and buts and averaging].
I mainly don’t like the use of the word linear, as some people use the term to describe
any power supply system that is not a switch mode type. As I said earlier, there are many different types of conventional power supply systems, some of which use SCRs (thyristors) in their operation (but are not called switch mode because they operate at mains frequency). It is in my humble opinion a very loose and misleading way to describe something. Just as it annoys me that 8 bit microprocessors (like the 65C02 and the Z80) are now often in the section of electronic suppliers labelled as microcontrollers
I have no objection to the use of the term analogue for conventional power supplies, as it is more appropriate
MarkPS sorry if I have dragged this off topic