No, that is not correct.
If you're consistently getting 22-23 wins during the regular season, that means you've either got a monster or team or a very weak schedule, most likely the latter. If your schedule is that weak, you're not giving yourself any margin of error for making the NT, which is the goal. You have a pretty high likelihood of screwing yourself out of a NT bid, with a good record and poor rpi.
If you look at most coaches who have been successful with low/mid programs medium/long term, they schedule a tough non-con slate to make up for the sos hits they're likely to encounter in conference.
Beyond that, you can easily get a team's prestige from the D range to the B or B- range in about 4-5 seasons. Then to get a low/mid over that B/B- hump, you need some deeper NT runs. To get over that hump, it's much more about deep runs than consistency.
(Imo, consistency should carry more weight, but it doesn't ... so you can have a low/mid coach with six straight losing seasons followed by four NT-2nd rounds, and he's likely to have the same prestige as a low/mid coach w. 10 consecutive NT-2nd rounds. Just a random example, but that's idiotic.)