Maybe not "elite"...not sure there are many claiming that BUT:
He has become the franchise's career leader in passing yards (34,183) and touchdown passes (248).
His 248 passing touchdowns are the ninth-most in NFL history among quarterbacks who played their entire career with one team.
Romo ranks third in quarterback wins in Cowboys history with 78, trailing
Troy Aikman (94) and Roger Staubach (85).
Romo has a career passer rating of 97.1, which is the fourth-best in NFL history (minimum 1,000 pass attempts), trailing only
Aaron Rodgers (104.1),
Russell Wilson (99.6) and
Tom Brady (97.2).
Romo was signed an undrafted free agent. He ranks fourth in passing yards, third in touchdown passes and fourth in starts among undrafted players since 1970, according to Elias Sports Bureau research.
Though Romo had an impressive regular-season career, his 248 passing touchdowns and 34,183 passing yards rank second and fourth, respectively, among players never to play in a conference championship game, according to Elias.
In the 2014 season, the last one in which he played the majority of his team's games, Romo was among the league's most efficient passers. He led the NFL in Total QBR at 81.6, his career best (not including his six snaps in 2016), and completion percentage (69.9 percent), best in a season in Cowboys history. He also led the NFL in passer rating (113.2) and yards per attempt (8.52) and was second in touchdown-to-interception ratio (3.8) among qualified quarterbacks that season.
From 2006-14, Romo led 27 game-winning drives in the fourth quarter and overtime. That is the most in the NFL over that span, one more than
Peyton Manning and
Matt Ryan.
Seventy-five of Romo's 248 career touchdown passes came in the fourth quarter. That's three more fourth-quarter touchdown passes than Staubach and Aikman had combined.
From 2006-15, Romo completed 65 percent of his passes and averaged 8.4 yards per attempt in the fourth quarter, which is the best of any of the 36 passers with 500 action plays in the fourth quarter in that span. His yards-per-attempt average in the final quarter of games was over a third of a yard better than anyone else in the NFL during that span
That's pretty darn good. Good enough to win super bowls.
Source:
https://www.espn.com/blog/statsinfo/post/_/id/130843/where-tony-romo-stacks-up-all-time