Yes, there's a good possibility that you have correctly identified this species. Because I can't be 100% certain as it seems a little atypical with the very purple stem (stipe), the mottled pattern on the cap surface (pileus) - though there are records of rusty stains and bruises mainly due to insect damage. Therefore I'll 'suggest' L. lilacinus and if there is no disagreement will confirm it in a week or so.
Great images and an unusual find. Good contribution.