I believe more factors would be considered. Like the amount of team needs, depth of game changing type players, positional need, and preference of the head coach.
Kelce has made a huge difference for the Chiefs, as did Gronk for the Patriots. There have been a few other very impactful tight ends. The Chargers had two, one of which, Joyner, was alongside two good receivers. Then they had Gates. Sharpe was a game changing TE, and so was Tony Gonzalez and Jason Witten. So, if a team thinks Warren has that sort of ability, then, in a draft low on stars, he’s worth a move up no matter how many 6th round picks Snead has to part with.
I also think that if McVay had that level of weapon, then he and Stafford would figure out how to get him the ball. Big targets that get open and have reliable hands tend to get used.
Do the Rams think Warren or even Loveland are that type of player? Who knows, but if they do, the fact that they tried to trade up for a TE two consecutive years makes it difficult to rule out the possibility, despite TE depth in this draft. They’d be drafting a star, not a position.