At least in my trailer, those screws are not countersunk at all, and plastic caps are used in a colour to (somewhat) match the oak. Haven't seen them in wood grain, but you can get metal ones.
2017 Escape 5.0 TA (someday soon, I hope
2015 Ford F150 Lariat 3.5L EcoBoost
2009 Escape 19 (previous)
“Most folks are about as happy as they make up their minds to be.” — Abraham Lincoln