You certainly shouldn't expect Trump, not being a scientist, to understand such nuance. As you can see on his tweets.
When he talks about Climate Change in video linked above he isn't denying it though, so, clearly to him those concepts are somewhat different.
They are not exactly same concept though.Again. Literally the same concept just a different name. You can't believe in one and not the other. So your point is moot.
In the modern context the terms global warming and climate change are commonly used interchangeably, but climate change includes both global warming and its effects, such as changes to precipitation and impacts that differ by region.
Shift happened exactly because "global warming" was taken a bit too literally as it gotten higher prominence.