Some data for #HartmannCoup:

From 1964 to 1992 Dems controlled the house through 5 GOP and 3 Dem POTUS.

After 1995 the Party that won the WH usually won the house.

1996 WH D House R 226 D 207 *
2000 WH R House R 221 D 212
2004 WH R House R 222 D 202
2008 WH D House D 257 R 178
2012 WH D House R 242 D 193 *
2016 WH R House R 247 D 188
2020 WH D House D 235 R 199

* non-WH party controls house