Pitfalls when transferring a domain to another registrar (with WHOIS - Privacy Protect enabled)?

Question

Domain name market

The first time I had to transfer the domain to another registrar. From the very beginning, I suspected that the current registrar would not be very happy about this and (it seems) was not mistaken. The problem is that this domain was registered along with hosting (*was included in the tariff plan for free), all (most) actions with the domain (except for changing DNS) can only be done through the support service.
Ukrainian hosting, support service in Russian, domain in the .com zone
In essence:
I contacted support (naturally, I sent them copies of documents, WHOIS was specified extremely correctly during registration), they unblocked the domain for transfer (although they tried to doubt that I I’m doing the right thing by leaving them), they sent me the key to transfer. I thought that everything was OK, I sent the key and the request to the new registrar.
He replied that they could not proceed with the transfer of the domain, because the service of hiding contact information " WHOIS Privacy Protect " is active. I contacted the support of the current registrar, asked to remove this protection. When I activated this service, it took a couple of hours at most, everything was hidden almost immediately. Now they replied that the protection was lifted, but it's been 69 hours since they said that, and the official " Registrar WHOIS Server: whois.onlinenic.com " in the WHOIS as HONG KONG was listed, it is. If it matters to people in the know, then: Registration Name: Domain ID Shield Service .
The support service of the company to which I want to transfer the domain said that the change should have taken from a couple of minutes to a couple of hours (in the worst case), the WHOIS update could not have lasted that long either.
The current registrar replied that "We removed the protection of contact information from the domain."
I tried to google this question, but I did not find a sane answer. How do WHOIS hiding services work, can it take so long to update contact information? Or is it the reluctance / errors of the current registrar? How long (maximum) can the WHOIS update process take? What should I do if the registrar ignores questions about hiding contact information? Regarding the procedure for transferring a domain and complaints about the unwillingness of the registrar to perform their functions, everything is scheduled, there is information at www.icann.org/
And about WHOIS Privacy Protect (and this service also prevents the transfer of a domain, although this is not indicated anywhere, at least at least my current registrar) there is very little information (apart from promotional offers from registrars that provide this service).
Thank you! ;)

Answer 1

in this situation, it remains only to continue to correspond with technical support. Until whois begins to give your real data, the transfer of the domain is impossible. Changing whois information actually takes a few hours at most. Well, no one canceled the standard period of a day for such operations.

Answer 2

keep domains in the right services: dynadot.com , evo.ru-tld.ru,
godaddy to the extreme

Answer 3

Exactly the same situation as TS, godaddy registrar, verbatim answer from technical support "Our whois shows that information protection is turned off, the rest is not our problem"