I'm attaching the WFCO "theory of operations" document that might help explain what's happening and when the converter/charger "changes modes" and what triggers each mode as well as what triggers a reversal of that change... Typically, the converter comes on in BULK MODE (14.4VDC) for a couple of hours, then changes to ABSORPTION MODE (13.6VDC) and remains there "indefinitely"... There is a "float mode" but the converter/charger will seldom advance to that mode... Why? The key to that answer is in the last sentence in the description of the FLOAT MODE: "A change in DC current will cause the converter to exit Float Mode and return to the default, or normal, Absorption Mode.
When you look at how our trailers work, any change in DC current puts the converter back in Absorption Mode. When the LP detector triggers a sample (usually every 15 seconds) it changes the DC current sensed by the converter and triggers the return to default. When the "time clock" in the stereo calls for a change, it may trigger a DC current change... On some radio clocks, there's a capacitor that powers the timer, but not the night light/LCD screen. When the timer "recharges the capacitor" it triggers a DC current change.... No doubt there are multiple more "energized circuits in the trailer"... Each of those, when they activate or deactivate will trigger a DC current change and "kick the converter out of float mode... So, you may NEVER actually read 13.2VDC on the converter output. You certainly will NEVER see "float mode" if you're in the trailer, because just turning on a light will prevent it for at least another 44 hours (that's almost 2 days) before the next time float mode could be achieved...
So, you'll almost always be in "absorption mode" (13.6VDC) even when in storage, if anything in the trailer is left energized. And, if you turn off everything, in most trailers that means disconnecting the batteries from the converter through a switch, so there's no possible way for the converter to provide "float mode"...
Here's the theory of operation...