The Goat of Travail - 'statistics of a nightmare'

I'm currently GMing an adventure path, and my players have picked up a set of Ivory Goats (Figurines of Wondrous Power). The write of for 'The Goat of Travail' is a bit wonky, and I thought I'd check in here for thoughts/opinions/precedent before I make a ruling:

The Goat of Travail: This statuette becomes an enormous creature, larger than a bull, with the statistics of a nightmare except for the addition of a pair of wicked horns of exceptional size (damage 1d8+4 for each horn). If it is charging to attack, it may only use its horns (but add 6 points of damage to each successful attack in that round). It can be called to life just once per month for up to 12 hours at a time.

Nightmare Statistics Here

...So it doesn't seem like the nightmare stats are appropriate for the goat as written: I don't consider the 'Smoke' or 'Plane Shift' abilities appropriate, neither the flight speed, languages, type/subtype or some of the skills; Has anyone raised this before? Is there a commmon consensus on what 'statistics of a nightmare' mean before I retool this by hand?

How are those abilities any more inappropriate for a goat monster than they are for a horse monster?

Not a rules question, it's quite clear what it does and how it works.

Conceptually I can't see how a hellfire goat is any more wonky than about 50% of the bestiary.

Careful with that planeshift though, or you'll have a player stranded on another plane for a month. I'd be tempted to give them an up front knowledge/spellcraft check (depending on the campaign or how mean you feel)

Not a rules question, it's quite clear what it does and how it works.

Conceptually I can't see how a hellfire goat is any more wonky than about 50% of the bestiary.

Careful with that planeshift though, or you'll have a player stranded on another plane for a month. I'd be tempted to give them an up front knowledge/spellcraft check (depending on the campaign or how mean you feel)

Interesting to get other people's perspectives on this. I was under the impression that 'statistics' meant 'statistic blocks' in this context - so physical stats only, etc. what you seem to be saying is that the goat of Travail is essentially a 'Nightmare+' (addition of 2 extra horn attacks) ... meaning a flying, smoky, planeshifting, fiery attack mount - except that unlike a nightmare, that it obeys its owner and doesn't speak: really useful feedback from you both; much appreciated.

Yes, they mean, "It is essentially exactly the same as a Nightmare in all respects, but with a pair of nasty horns it can attack with, like so..."