After having consulted another instructor as well, the confusion seems to be that the flying club usually only deals with new VFR RPL/PPL students, which then it is a requirement, since the radio licence is not part of the PPL course, you could theoretically fly only in E, F & G airspaces. You do need a separate RT licence to pass the initial PPL checkride, whereas with ATPL or CPL it seems to be integrated.
Funny thing here is that Austrocontrol do not issue the R/T licences, but another authority does.
As with my licence, we came to the conclusion that if you hold a CPL or ATPL, you have demonstrated your ability for R/T capabilities.
After asking the first instructor to show me the relevant rules to carry an RT licence, he conveniently couldn't find it.
Thanks all!