The lasso clears them all, with the following caveats:
Phoenix can "lie", circumstantially, by altering the *reality* of what is being asked/discussed, and can likely free herself from the lasso by exerting the *truth* of her (Phoenix) being an essence which should not and cannot be properly contained or controlled; however, she also would have to face certain other universal/meta-truths, and likely would leave the general area to contemplate some ultimate truth she hadn't thought of before.
Odin could circumstantially occlude truth in the sense of answering a question with a greater truth than most would be able to understand readily; however, he would not be able to properly lie/deceive, as such, as the universal truth the lasso brings to bear on the situation is the same as the universal truth he, himself, came to understand via the runes, and hanging from Ygg...
Squirrel Girl will tail-spin WW, defying the lasso's submission power, via the Greater Truth that she (SG) is just meta-capable of defeating anyone. She then keeps the lasso as a new accessory, 'cus it's shiney and glows...
*****
Everyone else has no generally viable options, as no degree of willpower or "uber-machismo" is in any way, shape, or form a factor in "resisting" the lasso's power -- only a truly greater understanding of universal/meta-truth allows for "working around" the lasso's power (and while Dr. Strange could, at his height, *possibly* come close to getting an occasional out on this, as he stands currently I highly doubt it...).