For architectural Interiors, you are highly likely to have to deal with multiple different lighting sources within the scene itself and the use of a Dual Lighting Sources Camera profile can help considerably.
I seldom photograph the ColorChecker itself during an actual shoot (Product shots containing important fabric-colours would be an exception) but I always process my RAWs starting with my most appropriate pre-made Camera Profile.
(I never shoot JPGs.)
Then I adjust all the ACR Sliders manually, and use Adjustment Brushes liberally, to pull the rendering that i want from the RAW.
Mostly I am not trying, (or needing!) to match the original scene but am much more likely to want to create a series of images which portray the scene as I wish the Viewer to see it — while the series also needs to work when viewed together in a printed spread.
It doesn't matter how much you use ColorChecker, you are unlikely to be able to reproduce the Spot Color inks used in product-packaging, or the colours of certain acryllic artist's paints, in Press CMYK output or inkjet prints so "Pleasing Colour" is the best you can hope for in those cases.
This Lion was shot at sunrise (so the overall colour temperature of the scene was Blue) but a beam from the rising sun (bright Orange!) spot-lit his face.
My ColorChecker-created dual "Daylight+Tungsten" camera Profile handled the situation easily while none of the canned camera profiles could.