I don't think Ulric was ever a POV character, so we don't really have direct access to his thoughts, but I'll see what I can look up when I get back to my books.
Ok, that's not correct, he is at times a POV character in Lost Destiny. in the second part of Chapter 27, Ulric, Natasha, Phelan, and Ranna are discussing the bidding. I'm not going to post pages of text here, but the tone seems quite genuine. I don't pick up any indication that Ulric is lying when he tells them that the other clans wanted the Wolves to stay out for two weeks but he "managed to whittle it down to five days." If he'd wanted them to lose, he could easily have held the Wolves out longer. Ulric also says talks about the other clans as idiots for bidding away so much of their strength and discounting ComStar's conventional assets and is described as sounding "weary". Phelan says "We will defeat ComStar, quiaff?" and Ulric basically shrugs, says "I don't know", and drinks some more Timbiqui Dark. At no point do any of these prominent Wardens even broach he possibility of losing intentionally, they seem genuinely intent on winning, Natasha especially says as much.
In the aftermath (chapter 42) Focht and Ulric are meeting and Focht questions Ulric on acting only as the Wolf commander. He says, among other things "it was determined that control of the individual operations would fall to the Clan Khans." Also, that he "was permitted to review all data coming up from the planet" but wasn't required to pass it along or offer advice unless specifically requested, and no one asked for his input. Focht's thoughts: "So, they forced you to act on your own and you let them twist in the wind." So it would seem that I was wrong about him giving the other clans good advice. They tied his hands in advance and never asked for his advice. He did what he was allowed to do, which was apparently just leading the Wolves and reading everyone else's reports. It does raise the question of who determined these policies, but I would suppose it was a Grand Council vote, the implication is certainly that it wasn't Ulric's choice.
There is one other instance, in Chapter 37, where Ulric and Conal are discussing the Wolf campaign. Ulric has reined in Conal's Galaxy, and Conal is pissed about it. Their conversation is essentially as follows (paraphrased because I'm leery of quoting too much text at a time):
Conal: But we were wining!
Ulric: And using up twice the allotted supplies.
C: So what? You're just trying to disgrace me and mine.
U: BS, I'm proud of you and bragged on your guys to all the other Clans.
C: So why do we have to wait for Natasha?
U: She's not using up supplies too fast and you, sir, are no Natasha Kerensky. Besides, she's being held back too.
C: ComSar are a bunch of dirty cowards, why don't they stand and fight?
U: Because they know we're not used to drawn out battles, and already used that to beat the Jags, and we don't have the supplies to waste here.
C: Bull, we could win tomorrow if you'd turn us lose.
U: You're wrong, and if you don't figure that out it's going to get you killed.
I was probably misremembering "don't use up supplies too fast, prepare for drawn out battle, etc etc" as Ulric's advice to other clans, rather than to his own Crusader elements. My mistake, it's been years since I read the book last.