As far as the mind set of old schook KF
2 years is still a begginer
The meaning of the statement is thus:
It does not imply ones lack of ability to fight. You may simply have natural ability to do so.
It does however imply that as KF instructors are concerned(particulary old school instructors) that you do not after only 2 years possess or understand a significant amount of material within the system of study to be considered an advanced student of KF.
Cant speak for all Traditional styles
In the case of old school KF ground fighting is addressed in a different manner than what is taught in grappling schools.
Take ju jitstu for instance, (please correct me if I'm wrong) but my observation is that they use attack/counter attack methodology. For certain attacks there are specific counters.
In contrast a KF practioners do not train with this methodology particularly the advanced practioners. The basics of KF should have familiarized the practioner with body mechanics as well as some techniques to illustrate possibilities. The result should be an individual style that allows improvisation without effort, regardless of the range in which the fight takes place.
One other note:
KF technique when it comes to grappling do not hinge on the appendages. They may pull on ribs or do windpipe grabs and such.