My experience is that IP reputation does a lot more for Cloudflare than browsers ever did. I tried to see if they'd block me for using Ladybird and Servo, two unfinished browsers (Ladybird used to even have its own TLS stack), but I passed just fine. Public WiFi in restaurants and shared train WiFi often gets me jumping through hoops even in normal Firefox, though.
I can't imagine what the internet must be like if you're still on CG-NAT, sharing an IP address with bots and spammers and people using those "free VPN" extensions donating their bandwidth to botnets.