The Ravens would become involved only if those teams backed off and Swann lowered his demands. Gilbert Brown represents another free-agent option, but is it even worth the Ravens' trouble to add at defensive tackle?
They've already got Sam Adams, Tony Siragusa, Lional Dalton and Martin Chase, and Larry Webster could return late in the season if the NFL lifts his suspension after eight games.
Not that he can't be replaced.
Swann, a superior talent when healthy, would be motivated to play for a long-term contract. Brown would arrive with similar incentive, giving the Ravens another player with Super Bowl experience.
Still, the best guess is that Siragusa will return. And if the Ravens can free enough salary-cap room by restructuring Ray Lewis' contract and re-signing Jonathan Ogden, they probably should sign another offensive lineman.
But back to the draft picks - Lewis at No. 5 and Taylor at No. 10.
The Ravens had the No. 10 choice each of the past two seasons, and signed both Duane Starks and Chris McAlister within reasonable time frames - Starks two weeks after the start of camp, McAlister five days before.
Peter Boulware staged a protracted holdout as the fourth overall pick in 1998, but went on to enjoy a terrific rookie season. Owner Art Modell took a hard line in those negotiations. His son, David, seems prepared to do the same.
"The technique of holding players out as a negotiating tool is vastly overrated," David Modell said. "Generally speaking, if you've done your homework, if you're prepared to pay and be reasonable, then holding or not holding out has no effect.
"So, hold him out, OK? I'll go play golf. And when you decide to get it done, we'll get it done. We're still on reasonable terms. By holding a player out, it doesn't mean we'll panic and overpay a guy by 30 percent. It's absurd.
"It's not going to get us to overreact or feel any pressure to get it done. It just won't."
The Ravens have made their share of mistakes in negotiations (Wally Williams, James Jones), but they've also enjoyed a series of successes - Jermaine Lewis, Ray Lewis and Michael McCrary; Tony Banks, Rob Burnett and Shannon Sharpe.
They deserve the benefit of the doubt, and Modell again expressed full confidence in Moriarty, the team's Director of Football Administration. Moriarty declined comment.
"I happen to think Pat is tough to negotiate with," Modell said. "You know what? That's good. I'm happy about that. He's doing his job. That's exactly what he should be doing.
"I'd be concerned if he was completely unreasonable, or on the flip side, if he was a marshmallow. Pat's neither of those. He's extremely well-prepared, ready to go when the time is right.
"He's not going to be walked over. And if it's going to be mutual Chinese water torture, he's prepared to do that, and he's going to be perfectly unemotional about it."
If it's going to be a mutual Chinese water torture, then it's the agents' problem and the Ravens' problem.
Wake me up when Lewis and Taylor are filthy rich.
Wake me up when it's over.