The "offensive meltdown" under Dawson has, IMO, been exaggerated by some. Cats averaged 384 YPG and 29.2 PPG in 2014. In 2015 those numbers were 372 YPG and 24.7 PPG. Not much difference in yardage and 4.5 PPG difference in scoring. However those scoring figures include non-offensive points. In 2014 the Cats scored 42 non offensive points (4 Pick 6s and 2 FR TDs) compared to only 23 (2 Pick 6s, 1 FR TD and 1 PAT return) in 2015. That makes the actual offensive scoring in 2014 to 25.7 and 22.8 in 2015, a difference of 2.9 PPG. Still a decline but not exactly the decline most see when looking at just the PPG numbers.
As for Conrad, he was usually lined up in the backfield in a 4 wide set and used mainly as a check down receiver vis a vis a true "in pattern" receiver. Personally, I have never believed you "build" your passing game around the TE position. Teams that do are generally just not very good passing teams. Looking at last years top 100 receivers (total catches) last year, only 3 were identified as TEs. In this era of spread the field offenses "true" TEs are beginning to go the way of the FB, i.e., special players for special sets. Conrad certainly looks the part of the classic on line TE. It will be interesting to see how Gran uses him this year. Last season, the Cincy TEs combined for only 16 catches in a very prolific passing offense.
Peace