I think you would have better luck with this with a smaller provider who would be willing to tweak your zone as needed to make it pass the check unless you're lucky and either of the providers you've mentioned will pass the checks as-is.
If you can find out what they check for exactly you can look at a site hosted at either provider and see if their zone check passes... Alternatively you could have your provider host your DNS and then you could just point your DNS records to the hosting provider's servers
i just want to be sure they will path the zonecheck before i take my Host.
and any one Hosting his website with lunarpages or 1and1 ... can Help me Checking This by adding my domain (normatex.fr) to his account and give me his dns to check.
Note: this will not effect your site, it's just a test For DNS