An inductor in parallel with a tweeter, without a series capacitor, would be
seen by the amp as a short at low frequencies. A cap in series with a
woofer would roll off the low frequencies.

Not so. IN a series-pass crossover, the inductor would be in parallel
with the tweeter and the capacitor in series with the woofer. Two
SPICE files indicate the topological differences. First, the more
common parallel model (assume MyWoofer and MyTweeter are both
appropriate Spice sub circuit models of the woofer and tweeter, and
ignore the fact that the values may or may not be appropriate):

* Parallel crossover net list
Vin 1 0 AC SIN 1.0 0.0

Lwoof 1 2 1MH
Xwoof 2 0 MyWoofer

Ctweet 1 3 8UF
XTweet 3 0 MyTweeter

Now, the same as a series-pass model:

* Series crossover net list
Vin 1 0 AC SIN 1.0 0.0

Cwoof 1 2 8UF
Xwoof 1 2 MyWoofer

LTweet 2 0 1MH
XTweet 2 0 MyTweeter

Two very different topologies

This is not to say the A-25 is one or the other, but beware a
generalization like:

"All you need to know is that in a simple 2-way crossover,
the capacitor if any goes in series with the tweeter, and
the inductor if any goes in series with the woofer."

There is nothing that intrinsically requires a simple crossover
to be designed in this fashion.