When you mention that you have the shutter speed close to your framerate, if you're shooting at 23.987 fps and are using a 1/25 second shutter, that will not lead to the most natural looking movement. Unless you are going for a very specific look, it's best to use the 180º shutter rule which means 1 / 2 x framerate. So in your case, use a shutter speed of 1/50 (the closest that a DSLR will come to 1/48). If shooting 30 fps, shutter would be 1/60 second.
As far as quality goes, unfortunately most consumer video equipment will not capture oversampled HD footage (though I'm not sure exactly what the T7 will be doing). These leads to softer images with a decent amount of aliasing along edges and fine lines. Also, 75% of the color information is tossed away (you're recording footage in 8-bit 4:2:0). During playback, there's some re-interpolation going one, but you'll ultimately see some smearing with colors, especially in very fine details.
At the end of the day, consumer video equipment typically leads to lower quality due to making many compromises.
For very crisp HD footage, you'll want to use equipment that will oversample (UHD quantity of sensor sites). For crisp 4K footage, oversampling using 8K quanity of sensor sites. Also helpful is using codecs that can capture more color. Anything from 10-bit 4:2:2 to 12-bit RAW.
Another part of the equation is dynamic range. I think the T7 may allow you to capture in WideDR? Though that camera doesn't have a stellar dynamic range, especially for video recorded to Rec.709
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Ricky
Camera: EOS 5D IV, EF 50mm f/1.2L, EF 135mm f/2L
Lighting: Profoto Lights & Modifiers
