It’s true what they say/and a question

In-a-Gadda -Da-Vida

Drums tend to be close miked in modern recordings, so they often have less air than you'll hear when you hear a kit played live. The Sheffield Drum Record still stands up pretty well in realistically reproducing drum sound. While not overloaded with fills, Bob James'es Feels Like Making Live has superbly recorded drum sound. But as other posts have said, heads, tuning, shell depth and diameter and mic'ing, compression all influence how drums sound when recorded.

Micing a drum kit is very tedious. Each head should have it's own mic. High-end studios used to do that (some still do) but with the digital mixing board assist all that tedious micing is not considered "necessary" any longer. 

Given your system's detail I'd guess the toms weren't mic'd. 

Gavin Harrison's drum is probably better mic'd than anyone. Plus he is one of the greatest drummer around.

see this for samples of drums. I thought they did a pretty good job with this

https://www.psaudio.com/products/the-art-of-hifi-percussion