They did their best by the end John. Their customers by and large knew and accepted this

Vidar, yes on all counts but to satisfy my own self, I'd need to know they were going to prepare the film correctly before attempting to stripe again.
If a film has been treated post production, this would mean milling the sides of the film correctly first to guarantee a decent surface to paste to again.

In doing so it would of course completely remove any existing stripe or coating to the film.
I'd expect the service to incorporate this provision in preparation to striping but without yet contacting them, I have no idea if they do or not.

I thought I would add this photo, as this film, or the box, was originally from a hire company.

Sound & Vision shop is just a few doors down nowadays Robert.
I've bought my last 3 Panasonic projectors from these guys in the last 15years.

http://www.soundandvision.co.uk

"Can the stripe be removed? Then added by those Italians perhaps? Those that magnetic stripe 16mm too?"
Yes, Vidar. You will be amazed how good that striping service is. Ihave 2 prints striped and im really glad with the service.