100% success record
I've not bothered with a fixed phone for 15 years - the line is for broadband only. On the odd occasion I've accidentally left a handset plugged in (in the days before free 0800 calls on my mobile) I've been rudely reminded how the other half lives with calls selling me conservatories and the like; eugh.
Truecaller on the mobile has pretty effectively dealt with mobile spam and the parents were trained early on that I'd call them back if they phoned me (to avoid big bills). It's worth a shot - honestly, try it.