Actually, it's fairly easy (though unpractical) to deal with the specular reflection of the floor. However, treating the vertical mode is much more difficult. Two different things and let's not mix these.I believe that it is practically impossible to eliminate floor reflection in a normal domestic room, like they did in Denmark study.
Here's a measurement without floor treatment with a horn speaker (that already minimizes the floor reflection). Take note about the strong reflection at around 2 ms.
And here with two absorbers on the floor:
The 2 ms reflection is now effectively anechoic.
Frequency response is of less interest here but I've still added it.
Before (no floor treatment):
After (with floor treatment):