While that's usually the case now, it did used to allways be true. For example, those crazy Canadians
)) used to number like 1-16 one polarity, and 17-32 the other polarity. Even now, I've seen some exceptions to the odd/even way of telling polarity. But in general, yes.
I don't think your examples are correct. For C-band analog transponders are pretty simple, and even though there isn't much analog left, the transponders are still pretty much the same. Ie transponders 1 thru 5 might be:
(1) 3700-3740 center freq 3720 V
(2) 3720-3760 center freq 3740 H
(3) 3740-3780 center freq 3760 V
(4) 3760-3800 center freq 3780 H
(5) 3780-3820 center freq 3800 V
etc, etc . Ie they overlap. Each transponder is about 36 MHz wide, centered in the 40 MHz band. The overlap used to be more meaninful in analog days.
Ku band is more complicated, because most Ku sats are a mixture of different width transponders, but in the end, it is very similar.
Generally, you can go to the web page of the sat owner to get the frequency charts.
For example:
SES AMERICOM - C-band
SES AMERICOM - Ku-band
There used to be bunches of nice charts on the web, but they are getting harder to find. I've collected some of the old ones.