I disagree that TES Lore has Tokien influence. Most of the older stuff is Tolkien copypasta, but since Redguard, almost all of the lore has been unique and interesting... until it reverted to copypasta again in Oblivion.
Most works of modern fantasy have influences from Tolkien, Bethesda probably just jumped on the bandwagon when they originally created the world, and you are wrong that the lore since Redguard entirely lacks Tolkien instances, Bethesda did try to make the Tolkien influences seem less generic by adding more lore to them (how well this worked, on the other hand, varies between different aspects of the lore.) but the only way to completely remove all Tolkien influences would be to scrap everything they already had and completely start anew, and then they'd probably copy someone else instead. The simple fact that elves, orcs, and whatnot are THERE, even if they differ dramatically from Tolkien's elves and orcs, means that the series hasn't completely been cut off from its roots. Although in this case, the Elder Scrolls is likely more based on D&D, which like most generic fantasy, copied a lot from Tolkien in the first place.
But as to Tom Bombadil, I think that judging a character from another fictional universe in terms of the Elder Scrolls universe is rather pointless, unless you're planning on making a crossover, and I think that making a crossover between the Elder Scrolls and Middle Earth would be rather pointless, given that they share a lot of the same concepts already, not to mention would likely be undesired by the fans.