The least secure part of the sign-in process is the person. It doesn't matter what the 2FA method is.
You can be using a one time pin and someone can look at your paper and see the next one. Someone can trick your grandma into giving out the Google authenticator pin over the phone because "they're from Google". Someone can trick you into making the financial transfer yourself because "you're getting a deal".
Although it's true that you are increasing the attack surface when compared to locally stored OTP keys, in the context of OTPs, it doesn't matter. It still is doing it's job as the second factor of authentication. The password is something you know, and the OTP is something you have (your phone/SIM card).
I would argue it is much worse what 1Password and Bitwarden (and maybe others?) allows the users to do. Which is to have the both the password and the OTP generator inside the same vault. For all intents and purposes this becomes a single factor as both are now something you know (the password to your vault).
Arguably, if you use 2FA to access your passwords in 1password, there's little difference between storing all your other OTPs in 1password or a separate OTP app. In both cases, since both your secret passwords and OTPs are on the same device (your phone), you lack a true second factor. The most likely way someone would gain access to 1password secured with 2FA is if they control your device and it's been compromised, and having your OTPs separated wouldn't provide additional protection there. Thankfully, the larger benefit of OTPs for most people is that they are one-time-use, not that they originate from a second factor.
There is one theoretical situation I can think of where having your OTPs and passwords separate could be an advantage, and that's if someone gained all your 1password login details, including the 2FA secret key. But for someone able to gather that much sensitive intel, I'm not sure how much more of a challenge an authenticator app would be.
If you truly feel you need a second factor though, you'll probably want to look at something like a Yubikey or Titan. I've considered getting one to secure my 1password vault to reduce the risk of a lost phone compromising my vault.
Bulk download a shit ton of research papers through the university's educational license and distribute them for free on the internet, cutting out the completely unnecessary profit driven middle man leading you to eventually do away with yourself due to the pressure from the government and corporations to make an example out of you with a strong sentence.
I appreciate the quick hack, but with a little more foresight you could have just put up a blurry jpeg with that number and changed the prompt so it looks like a CAPTCHA. Nobody would have given it a second thought.