In France at least I doubt it.
The only time I remember caps on landlines was when 56k modem were still the norm. Once ADSL was rolled out there was pretty much no caps anymore.
I think the fact that we had some healthy competition for landlines from the get go in my country meant the ISPs couldn't get that much greedy and put caps in place. So it never ended being common where I live.
And when it was old school modems, well you were already paying for the phone communications anyway when connected to the internet so it wasn't really unlimited anyway.
Having worked on email servers in the past, I can say that emails is one of the worst means of communication available today. It's totally unreliable, complicated to secure, can easily be a vector for all kinds of dangerous malware. It's used everywhere for everything yet is absolutely terrible as a communication tool.
I genuinely think we NEED email to die and start with a blank slate.
To secure an email domain you have to implement SPF, DKIM DMARC and all kinds of others add-ons to emails to barely control the amount of spam and phishing that will target you.
Emails will often be silently refused by a recipient mail server because they were falsely identified as spam. So the recipient will not know someone attempted to contact them. Spammers are still having lucrative businesses despite the 3 security add-ons I mentioned before and many domains are still completely unprotected. And these have been the guidelines for decades. And it's still recommended to always check the spam folder because everyone needs to keep in mind that emails are unreliable. They are an outdated technology like the fax machines are/were. By the way, even a fax machine is more reliable than an email.
Filtering spam will always mean false positives and lost emails. And it's quite expensive to get a good anti spam filter.
Emails are bad. They need to go. If anything remotely looks like an acceptable replacement we have to go for it.
/rant
I realize this comment is a bit off topic. I just wanted to point out that despite being heavily used emails are on paper an absolutely terrible communication medium. Maybe it's not such a bad thing if people use it less.
Genuinely, the most frustrating technology I had to admin so far and by a long shot.
I kind of get why a business would want to stop providing email services. They are so annoyingly complicated to host.