I think the best test is to check with Chesgard to see if he gives you the Temple Blankets quest. There is a line of dialogue where he asks if your a Knight of Thunder. If your faction isn't high enough he won't give the quest.
As others have said I can confirm that there is no quest dialogue for Bonethunder, and yes Warmly is as high as you can get right now. I handed in the letter (by killing Mammoth; which when you do you can turn in his hide to an NPC in the druid area to get faction back) and the Thunder staff. I received Bonethunder in return.
Best of luck and enjoy the mighty Bonethunder!
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