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Well, reread what has been said. You said that the lions would spread into every niche for the same reasons that primitive life did 4bn years ago, which is wrong. Back then no niches were filled. Now they all are, so environmental changes are required to empty niches or change them. You didn't say anything about that, and it's really a very different issue.
As we're talking about infinite time here, it's kind of ambiguous as to whether or not we're still factoring environmental events. If we are, the lions will evolve. If not, they won't.
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I reread what was said, and I only said they would fill every niche if they were placed on a planet with themselves, infinite time, and infinite resources. In that situation, no niches would be filled so they would be there to fill them all. Although apparently that wasn't not the intentions of the question, I explained that I misread it.
As to environmental conditions, I don't see why infinite time would mean no environmental conditions. Wouldn't infinite time allow for more of an influence from the environment? Although with truly infinite time the lions would evolve plenty anyway. It would be at a slower pace because of no mass extinctions allowing for en explosion of diversity, but evolution at a slow pace with infinite time is still infinite evolution.
