Pierce said before (as in before he was told not to say it) that Lazenby and his film were sad and pathetic and a disgrace and that he hates the film and Lazenby's acting and him and the film should have been removed from the Bond library ( a lot of people seem to agree).
After the press ran with this he has since called OHMSS great and Lazenby a good Bond.
But how he really feels was from above as he said in an interview before GoldenEye.
So if he does have any Lazenby influence it would be quite ironic.
But I don't see it. To me Pierce is like a Dalton and Moore combined, but just not the part of Moore that had the humor.