Lighting, Light Fixtures, Ceiling and Exhaust Fans - can lights in a closet

I'm currently finishing my basement and have hired a licensed electrician to help me with my electrical. He's going to let me do as much or as little as I want in order to cut down on cost. Right now, I'm getting a head start with some of the easier tasks like putting up can lights and switch/socket boxes. The electrician stopped by the other day to go over my plan and materials. Part of my plan calls out for (2) 6" Halo IC new construction can lights in a 7' x 5' bifold door closet off of the rec room. His first reaction was "Ooh, I'm going to have to check into that" I told him I could change it to (1) standard ceiling light fixture and he said those are worse. When we got to the bedroom walk in closet, again my plan calls for (2) more of the same lights and he said due to the larger size, it would be okay. I can wait for his suggestion based on whatever it is he was going to check into, but I also want a second opinion from this forum. Is can lights in a closet not a good idea? If not, what is a good suggestion for lighting in closets. Even if this guy comes back and says it's okay, I would like another opinion as to why it would be questioned in the first place. I want to make sure this is done right and if that means buying something different, that's what I'll do.

Thanks

There is nothing wrong with can lights in a closet. They are allowed by the NEC.
However, in a closet, the bulb must be covered. I used shower trim to protect the bulb. There are also restrictions on how much clear area must surround the bulb. That is probably what concerns your electrician.