I've had false LOC capture a couple of times and now delay arming the approach until quite late.
A few points worth noting:
1. Within 20nm of the threshold LOC capture takes over from NAV and the aircraft will deviate slightly off route to intercept. Some controllers don't like this if you have been cleared to a waypoint less than 20nm away from the runway and from there, cleared ILS approach.
2. No French manufactured or registered aircraft can descend on the glide path before it has captured the localiser. LOC* doesn't mean you are within those limits and you can overfly the glideslope if you are very close and the system hasn't decided to let you descend. Monitor closely and be prepared to go V/S once on the LOC and if the G/P is underneath you.
3. Extended runway centreline with NAV blue can be useful if cleared for the approach outside of the protected area. You will line up with the runway if you forget to arm the APP rather than fly through into high terrain or a parallel runways approach path.
4. Check that the FMS hasn't calculated a hold if you are cleared to a waypoint for ILS intercept with a large angle. 90' intercepts are used at some airports and a hold can appear at the waypoint.
5. FCOM has a chart showing distance/speed/angle where an ILS can be intercepted.