covered with lot of themes vs covered with a lot of themes

Some examples from the web:

• There are a lot of theme parks there for children.
• Only more horrifying with lots of plot twists.
• Along with lots of candy canes wrappers.
• Director Choi said that there are a lot of theme parks here for children that I should look at.
• Plus, their line has a lot of curves, and they use short rails with lots of joints.
• But I make lots of deals with lots of girls.
• At that time, this part of China was tropical and the land was covered with a lot of freshwater lakes.
• Down through the chimney with lots of toys!
• Bring two Cherry Cokes with lots of ice.
• Rabb's got a deep hat with lots of rabbits.
• A yellow house, with lots of rooms.
• A nice and hot with lots of bubbles.
• It's a big, beautiful house with lots of rooms.
• After that, we added the music with lots of discretion.
• I think it's shot with lots of discretion.
• Dad always rolled with lots of cash.
• Good work with lots of variety.
• A hotel with lots of people around.
• With lots of cameras, I see.
• I want mine with lots of cheese.

Some examples from the web:

• At that time, this part of China was tropical and the land was covered with a lot of freshwater lakes.
• Areas with a lot of economic activity - with a lot of roads, with a lot of urbanization - those areas have higher prevalence than others.
• There was definitely a lot of political awareness developing with a lot of the people in the music scene.
• Remember there are a lot of neighborhoods... with a lot of 13-year-old guitarists.
• Playing with a lot of energy and a lot of confidence.
• A lot of people with a lot of cameras.
• But I have seen a lot of people with a lot of promise Burn out right around this very stage.
• Now we're dealing with a lot of combat veterans for whom...
• Mr Hirsch has arrived with a lot of machinery.
• We've all had to deal with a lot of pain.
• I've met a few young reporters with a lot of potential.
• I wasn't left with a lot of choices.
• Start with a lot of ice to dilute the alcohol.
• She sure comes up with a lot of excuses.
• He was dealing with a lot of stuff at the time.
• butendsuphavingsex with a lot of guys.
• It's just juice with a lot of vodka.
• It's a big job with a lot of responsibility.
• That's a guy with a lot of expertise.
• With a lot of reading time on my hands.