iCloud.com Contacts partially syncing to iOS devices, Macbook sync does work

Recently I migrated my contacts from Google to iCloud and found that while all show up in iCloud.com and the Contacts app on my Macbook several are missing from the Contacts app on my iPhone.

• Tried several times on different days with the same outcome.
• Rebooted my iPhone.
• Disabled/re-enabled Contact sync for iCloud.
• Made sure there are no Contact syncs from other accounts.
• Cleared network settings (in case there was some hiccup related to network cache).
• Tried the import from both iCloud.com and from the Mac app.

All have the same outcome: Mac and iCloud.com are perfectly in sync but on my iPhone (and also iPad) some contacts are structurally not syncing (but interestingly they do appear in Mac Contacts as well as in iCloud.com).

Recently I found that if I go into the Contact entry that is not syncing and change the name, it does show up. I am not using any special characters and can't figure out a reason why it does this.

My contact list is rather big so going over them one by one is not really and option. Also I would really like to understand why it isn't syncing.

Any thoughts and/or help is greatly appreciated.