Even if you have an algorithm to compute them. I appreciate your optimism thought. But OEIS is made by pretty smart people, if it was so simple, it would have been made.
It would be great to make it when possible but the bias will remains.
I don't believe this to be true. Maybe the people who make OEIS have been satisfied with having the description and a few examples.
It would only work well for strictly increasing sequences. I don't know of any sequence that increases slowly and is difficult to compute. If it increases quickly, then you'll quickly pass the limit. If it's not increasing, then you'd have to prove which numbers are under the limit and that could be very challenging in some cases.